1-cos2a/1+cosa if 1/3 how much sin²a

Answers

Answer 1

Answer:

(1-cos2A) /(1+cos2A) =tan²A

Proof:

We know that,

cos(A+B) =cosA.cosB-sinA.sinB

=>cos2A=cos(A+A)

=>cos2A=cosA.cosA - sinA.sinA

=>cos2A=cos²A-sin²A

=>cos2A=(cos²A-sin²A)/(cos²A+sin²A

Since {cos²A+sin²A=1}

Divide the numerator & the denominator by (cos²A) to get,

cos2A = {(cos²A-sin²A) ÷cos²A} / {(cos²A+sin²A) ÷cos²A}

cos2A ={(1-tan²A)/(1+tan²A)}

Then,

1-cos2A = 1-[{(1–tan²A)/(1+tan²A)}]

1-cos2A =(1+tan²A-1+tan²A)/(1+tan²A)

1-cos2A=(2tan²A)/(1+tan²A)

And now.......

1+cos2A=1+[{(1-tan²A)/(1+tan²A)}]

1+cos2A={1+tan²A+1-tan²A}/{1+tan²A}

1+cos2A=2/(1+tan²A)

So now,

(1-cos2A)/(1+cos2A)= {2tan²A/(1+tan²A)}÷{2/(1+tan²A)}

={(2tan²A)(1+tan²A)}÷{2(1+tan²A)}

=tan²A

Step-by-step explanation:

make me as brain liest


Related Questions

WHat is the correct sequence of steps

Answers

option 2:

1-3-4-2-5

1 puts it into terms of sins and cosines,

3 uses the half-angle equation

4 uses the square root rules

2 is just fraction manipulation

5 is a simplification

Answer:

1-3-4-2-5

Step-by-step explanation:

correct on edge 2021 :D

Question 3 of 10
What is the slope of the line that contains the points (4.-1) and (-1,4)?
O A. 5
O B. -5
O c. 1
O D. -1

Answers

Answer:

D

Step-by-step explanation:

y=kx+m

In this case I think the slope would be k.

k=y2+y1 / x2+x1

(4,-1) and (-1,4)

k=(4-1)/(-1-4)= 3/-5= -0.6 which is about -1

what is an equation equivaent to x=-2

Answers

x-2=0 answer

Step-by-step explanation:

x=-2 move constant to the left by adding its opposite to both sides

x+2=2-2 the sum of two opposites equals 0

x-2=0

ANSWER X-2=0

How do you write 8.43 × 10^-4 in standard form?

Answers

Answer:

0.000843

Step-by-step explanation:

simplify the expression:

8.43 × 0.0001

now simplify:

0.000843

If you find my answer helpful

Pls consider marking my answer as Brainliest! It would mean a lot!

Identify each part of the algebraic expression as the coefficient, constant, or variable.
1. 4x - 12
4 is a(n) ___________________
x is a(n) ___________________
12 is a(n) __________________

2. a + 3b
a is a(n) ___________________
3 is a(n) ___________________
b is a(n) __________________

3. 6y
6 is a(n) ___________________
y is a(n) ___________________







TRANSLATIONS
DIRECTIONS: Highlight and Translate, Then type the final translation.

1. Three less than “x” is equal to 13. ________________________



2. The product of 9 and “m” is 45. ________________________



3. A number divided by 6 is 18. ________________________



4. A number plus 17 is 25. ________________________



5. Seven times a number is 28. ________________________



6. A number divided by 7 is 9. ________________________



7. A number minus 12 is 20. ________________________




8. The quotient of “y” and 3 is 25. ________________________



9. One-fifth of “r” is 15. ________________________



10. Six less than 2 times “y” is 34. ________________________



11. Five more than “n” is equal to 9. ________________________



12. A number increased by 3 is 19. ________________________




13. The difference of “p” and 7 is 30. ________________________



14. Fifteen multiplied by “k” is 75. ___________________________



15. The sum of 3y and 5 is 47. ________________________


Answers

Answer:

1. coefficient,variable, constant

2. variable,coefficient,variable

3. coefficient, variable

Translations:

1. x-3=13

2. 9m=45

3. x/6=18

4. x+17=25

5. 7x=28

6. x/7=9

7. x-12=20

8. y/3=25

9. r/5=15

10. 2y-6=34

11. 5+n=9

12. x+3=19

13. p-7=30

14. 15k=75

15. 3y+5=47

Name the subset(s) of real numbers to which the number belongs.
−1.57

A. integer only
B. rational only
C. irrational and rational
D. rational and integer

Answers

it’s b- rational (i think)

whats the product of (3-2i) and (7+6i)?​

Answers

Answer: the product is = 33+4i

Step-by-step explanation:

21+4i-12i^2

21+4i-12(-1) i^2=-1

21+4i+12

your answer would be 33+4i .

Given m||n, find the value of x.

Answers

Answer:

27 degrees

Step-by-step explanation:

the 27 degrees

Answer:

27°

Step-by-step explanation:

X and 27° are both alternate interior angles (on opposite sides of the transversal, between the two parallel lines), which makes them congruent! So they are both 27°.

Una caja contiene 448 mascarillas, las cuales se deben acomodar en 3 cajas más pequeñas. En la primera se deben poner ; 1/8, del total, en la segunda 3/8 y en la tercera 4/8 ¿Cuántas mascarillas van en cada caja y cuántas quedan en la caja original?

Answers

Step-by-step explanation:

Si una caja contiene 448 cajas y debe acomodarse en tres cajas más pequeñas, si la primera contiene 1/8 del total, entonces el número de cajas en la primera será:

[tex]= \frac{1}{8}\times 448\\ = \frac{448}{8}\\ = \frac{8\times56}{8}\\ = 56[/tex]

Por lo tanto, la primera caja contiene 56 cajas más pequeñas.

Si el segundo contiene 3/8 del total, entonces el número de casillas en el segundo será:

[tex]= \frac{3}{8}\times 448\\ = \frac{3\times448}{8}\\ = \frac{8\times 3 \times 56}{8}\\ = 3 \times56\\= 168[/tex]

Por lo tanto, la segunda caja contiene 168 cajas más pequeñas.

Si el tercero contiene 4/8 del total, entonces el número de casillas en el tercero será:

[tex]= \frac{4}{8}\times 448\\ = \frac{1}{2} \times 448\\ = 224[/tex]

Por lo tanto, la tercera caja contiene 224 cajas más pequeñas.

La cantidad que quede en la casilla original se expresará como

= 448- (56 + 168 + 224)

= 448-448

= 0

Por lo tanto, no quedó ninguno en la caja original.

Aanya wrote the four equations that are shown below.

A

6 x minus 8 = 4 (x minus 2) + 2 x
B

3 (x minus 1) + 2 x = 3 (x minus 1) + 2

C

7 x + 2 minus x = 6 (x + 2)
D

4 (x + 3) + x = 5 (x + 1) + 7

She examined them, without solving them, to determine which has exactly one solution. Which of Aanya’s equations has exactly one solution?
6 x minus 8 = 4 (x minus 2) + 2 x
3 (x minus 1) + 2 x = 3 (x minus 1) + 2
7 x + 2 minus x = 6 (x + 2)
4 (x + 3) + x = 5 (x + 1) + 7

Answers

Answer:      

B

Step-by-step explanation:

.' )

Answer:

The answer is B.

Step-by-step explanation:

I just took the test.

Which method represents a correct way to solve the equation?

-x+(-3+x)2 = 6

Multiply -3 by 2.

Multiply x by 2.

Combine like terms.

Subtract 6 from both sides.

Use the quadratic formula to solve for x.

OA.

Square -3.

Square x.

Subtract -7x from both sides.

OB. Subtract 9 from both sides.

Take the square root of both sides.

Square -3.

Square x.

Combine like terms

OC. Subtract 6 from both sides.

Use the quadratic formula to solve for x.

OD

Square the quantity (-3 + x).

Combine like terms.

Subtract 6 from both sides.

Use the quadratic formula to solve for x.

Answers

Answer:

Multiply -3 by 2.

Multiply x by 2.

Combine like terms.

Subtract 6 from both sides.

Use the quadratic formula to solve for x.

Step-by-step explanation:

Given:

-x (-3 + x )2 = 6

-x (-3 + x )2 = 6

-x (-6 + 2x) = 6

-6x + 2x^2 = 6

2x^2 - 6x - 6 = 6 - 6

2x^2 - 6x - 6 = 0

Multiply -3 by 2.

Multiply x by 2.

Combine like terms.

Subtract 6 from both sides.

Use the quadratic formula to solve for x.

Please help me i can’t get this one right. someone help me please if you know how to do this.

Answers

Answer:

it’s going up by 3 boys per girl!

Step-by-step explanation:

Correct me if I’m wrong by commenting down below.

Which one?
A. B. C. or D? ​

Answers

Answer:

I think that the answer is D

Step-by-step explanation:

PLEASE HELP, MARKING BRAINLIEST!!!!

These triangles are congruent by _____.

A. SAS
B. ASA
C. AAS
D. SSS

Answers

Answer:

ASA Postulate

Step-by-step explanation:

It's Angle-Side-Angle Postulate because you can see two clearly congruent angles, two clearly congruent sides attached to that angle, and the angle connected to that line is congruent to the other triangles corresponding angle because they're vertical angles.

Answer:

B. ASA

Step-by-step explanation:

We know that the angles in which the triangles are connected are equal to one another because the lines continue and do not bend so that is your first angle, then we see a red line on both triangles indicating that the sides are equal. That is your side, and finally there is a red curve in both corners of the triangle indicating the angles are equal. Therefore the triangle is congruent by ASA.

of your division problem by the divisor and compare the result with the dividend. If they are equal, your division was correct. SAMPLE PROBLEM 1: Divide 564 by 47, and check your result with multiplication. your quotient.

Answers

Respuesta:

La respuesta de tu división es  exact  

Step-by-step explanation:

Tu división es de 564/47 el consciente es: 12 ahora multiplicamos 47*12 = 564


Find the equation of the line.
Use exact numbers.
Y=?x+?

Answers

Answer:

y=.75x-2

Step-by-step explanation:

4,1

8,4

3/4 or .75x

to check answer:

(.75*8)=6

6-2

4

The equation of the line shown in the graph is y = 4x / 5 -2.

What is the slope of the line?

The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.

Here,

Points located on the graph that lies on the line are (0, -2), and (2.5, 0)

The slope of the line is given as,

m = (y₂ - y₁) / (x₂ - x₁)

Substitute the value in the above equation,

m = 0+ 2 / 2.5 -0 = 20/25
m = 4 / 5

The equation of the line is given as

y - y₁ = m (x - x₁)

Substitute the one point (-2, 0) and m in the above equation,
y + 2 = 4/5 (x - 0)

y = 4x / 5 -2

Thus, the equation of the line shown in the graph is y = 4x / 5 -2.

Learn more about slopes here:

https://brainly.com/question/3605446

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Write an expression for the perimeter of the triangle shown below: (4 points)

A triangle is shown with side lengths labeled 0.5x plus 9, 3x, and negative 3.4x minus 25.


A 6.9x − 16

B 6.9x + 16

C 0.1x − 16

D 0.1x + 16

Answers

Answer:

The expression of the perimeter of the triangle is 0.1x - 16 ⇒ C

Step-by-step explanation:

The perimeter of a triangle is the sum of the lengths of its sides

Let us solve the problem

∵ The lengths of the sides of a triangle are:

0.5x + 93x-3.4x - 25

∵ The perimeter of the triangle = sum of lengths of its sides

∴ The perimeter = (0.5x + 9) + (3x) + (-3.4x - 25)

→ Add the like terms

∵ The perimeter = (0.5x + 3x - 3.4x) + (9 + -25)

→ Remember (+)(-) = (-)

∴ The perimeter = (3.5x - 3.4x) + (9 - 25)

∴ The perimeter = 0.1x + -16

∴ The perimeter = 0.1x - 16

The expression of the perimeter of the triangle is 0.1x - 16

Answer:

C.

Step-by-step explanation:

0.1x − 16

which is the best estimate of -14 1/9 × -2 9/10 ​

Answers

Answer: 42

Step-by-step explanation:

-14 1/9 would round to -14

-2 9/10 would round to -3

-14 x -3= 42

A recipe calls for 4 teaspoons of salt to 12 teaspoons of red pepper flakes. How many teaspoons of salt are needed for each tablespoon of red pepper flakes?​

Answers

Answer:

1 teaspoon of salt to 3 teaspoons of red pepper flake

Step-by-step explanation: 12 divided by 4

Suppose Jane's mother replaces the six bags of trail mix. She also provides the group with 18 cans of juice. Each snack pack has the same number of apples, bags of trail mix, and cans of juice. What is the greatest number of snack packs Jane can make? Explain.

Answers

Answer:

six[6] snack packs.

Step-by-step explanation:

Without mixing words, let's dive straight into the solution to the question above. So. the mathematics principle behind this question is what is known or refer to as Greatest Common Factor. The term ''Greatest Common Factor'' with acronym GCF means the highest factor in the set of numbers given.

In this question, we are given that there are 18 cans of juice, 24 apples and 36 small bags of mix trails in order to make snack packs. Thus, we have three set of values or numbers that is 18, 24 and 36. Hence, the question/problem require us to determine the greatest number of snack packs Jane can make that is to find/determine the  Greatest Common Factor.

STEP ONE: DETERMINE OR LIST OUT THE FACTORS FOR THE THREE SET OF VALUES GIVEN, THAT IS 18, 24 AND 36.

The  factors of 18 = 1, 2, 3, 6, 9 and 18.

The factors of 24 = 1, 2, 3, 4, 6, 8, 12, and 24.

The factors of 36 = 1, 2, 3, 4, 6, 9, 12, 18,  and 36.

STEP TWO: DETERMINE THE GREATEST FACTOR COMMON TO THE THREE LISTS.

For the three lists, the greatest factor common to them is 6.

Therefore, The greatest number of snack packs Jane can make is six[6] snack packs

The length and breadth of a rectangle are in a 15 : 11 ratio. If the length is 56 cm more than the breadth, find the perimeter of the rectangle.​

Answers

Answer:

g

Step-by-step explanation:

Answer:

Perimeter of rectangle = 728 cm

Step-by-step explanation:

Length :  breadth = 15 : 11

Length = 15x

Breadth = 11x

15x - 11x = 56 cm

         4x = 56

           x = 56/4

           x = 14

Length = 15 *14 = 210 cm

Breadth = 11 * 14 = 154 cm

Perimeter of rectangle = 2 * ( length + breadth)

                                     = 2 *(210 + 154)

                                     = 2 * 364

                                      = 728 cm

help awnser attach the awnser using image​

Answers

Step-by-step explanation:

Hey there!

The given points are; (-4,-1) and (4,2).

Use slope formula.

[tex]slope(m) = \frac{y2 - y1}{x2 - x1} [/tex]

Put all values.

[tex]m = \frac{2 + 1}{4 + 4} [/tex]

Simplify it.

[tex]m = \frac{3}{8} [/tex]

Therefore, the slope is 3/8.

Hope it helps...

Jordan get a $10 allowance and works a job that pays $7.00 per hour. Alex gets a $20 allowance and works a job that pays $6.50 per hour. If they both work the same number of hours each week, how many hours would they need to work to have the same amount of money for the week?

Answers

Answer:

20 hours

Step-by-step explanation:

Let x = number of hours

Jordan

Allowance = $10

Pay per hour = $7

Total = 10 + 7x

Alex

Allowance = $20

Pay per hour = $6.50

Total = 20 + 6.50x

Equate total of Jordan and Alex earnings

10 + 7x = 20 + 6.50x

Collect like terms

10 - 20 = 6.50x - 7x

-10 = - 0.5x

Divide both sides by - 0.5

x = -10 / -0.5

= 20

x = 20 hours

Jordan and Alex will both work for 20 hours to have the same amount of money in a week

PLEASE HELP ME OUT

John has two coupons to use at a clothing store. One is for $20 off and
the other is for 20% off. John wants to purchase a shirt with one of the
coupons and wants to pay the least amount that he can. Choose the
answer that BEST describes the situation.
A. The shirt will have the lowest price with the $20 off coupon
B. The shirt will have the lowest price with the 20% off coupon.
C. The shirt will cost the same with either coupon.
D. It depends on the cost of the shirt as to which coupon will help John pay the lowest
price

Answers

Answer: D. It depends on the cost of the shirt as to which coupon will help John pay the lowest price.

Step-by-step explanation:

You do not know how much a 20% discount is unless you know the price of the shirt. This can be more or less than $20, so you don’t know.

Hope this helps!

Answer:

D.

Step-by-step explanation:

For example if a shirt was $100 dollars, 100-20 = 80 and 100 x .8 = 80

But if the shirt cost $35, 35-20 = 15 while 35 times .8 = 28

This shows that the cost of the shirt is important in discovering which coupon is better.

What is the range of the function in this table x 1 2 3 4 Y 2 4 3 2

Answers

Answer:

(2, 4, 3)

Step-by-step explanation:

Range = Y

When a geometric figure turns about a certain point it is called a_____

Answers

Answer:

rotation

Step-by-step explanation:

hope this helps

Answer:

Rotation (✿◠‿◠)

14+14 plaxdivu nfnvhwijqco n uhfen uew9 nfh nf hfn feuh

Answers

Answer:

28?

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

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Individual computer lab sessions at a school are 24 minutes long. On Monday, 313 students each completed a session at the computer lab. What is the total number of minutes the students spent at the computer lab?

Answers

Answer:

7512 minutes

Step-by-step explanation:

313 students each completed a 24 minute session.  Which would be

313 · 24 = 7512

hope this helps... please amkr brainliest answer if correct:)


There are 5 number cards labeled 1 through 5. What is the probability and its complement of randomly drawing a card from this set that is more than 47

Answers

Answer:

impossible you cant get one that is over 5 if it only goes to 5

Step-by-step explanation:

If an object is dropped from a height of 39 feet, the function h(t)=-16t^2+39 gives the height of the object after t seconds. Graph the function

Answers

Answer:B

Step-by-step explanation: I took the test.

The graph of the function h(t)=-16t^2+39 is graph (b)

The equation of the function is given as:

h(t)=-16t^2+39

The above function is a quadratic function that as a y-intercept of 39.

This is shown as follows:

h(0)=-16 * 0^2+39

Evaluate the exponent

h(0)=-16 * 0+39

Evaluate the product

h(0)=0+39

Evaluate the sum

h(0)= 39

Hence, the graph of the function h(t)=-16t^2+39 is graph (b)

Read more about quadratic functions at:

https://brainly.com/question/1214333

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Solve the system of equations below. 3/+4,/9-12 = 17 2v1 +3,11+52 = 18 -V5-VT-12 = -6 The tell tale heart What prevents the narrator from killing the old man during the first seven nights Which point represents (5,-3) on the graph? please help!! i need math help loll a box with a Constance velocity has a 5 N of force applied to it from all sides and direction. what will happen to the motion of the box as result? A-the object will come to rest b-the velocity of the object will remain the same c- the velocity of the object will decrease d- the velocity of the object will increase If a=2, b=-3 and c=4, evaluate: b(a-c)^2 The process of amending the Constitution was made more difficult than passing a lawbecause(25 points)A.Changes should be made for very important reasons.B.Two-thirds of state legislatures must approve a proposed amendment.C.The new nation needed laws very badly.D.The framers did not want the Constitution to be changed. The equation y=-x2 - 8x 18 is shown by graph In a sequence of numbers, a3=0, a4=4, a5=8, a6=12, and a7=16. Based on this information, which equation can be used to find the nth term in the sequence, an?an=4n12A sub n is equal to 4 n minus 12an=12n+4A sub n is equal to negative 12 n plus 4an=4n+12A sub n is equal to negative 4 n plus 12,an=12n4 how to deal with a break up :( A local supermarket sells shrimp $9.49/lb and beef for $5.99/lb Todd buys s pounds of shrimp and b pounds of beef. Which of the following inequalities represents that Sandy only has $65 to spend? Does this look good? Caleb and Sergio stacked boxes on a shelf. Caleb lifted 14 boxes and Sergio lifted 12 boxes. The boxes that Sergio lifted each weighed 10 lb more than the boxes Caleb lifted.Let c represent the weight of each box Caleb lifted.Which expression represents the total number of pounds Sergio lifted?120c10(c12)12(c+10)c + 10 Plz help :( I dont understand which of these is correct? will give brainliest C: Appendix 1: Gross and net methods for sales discounts The following were selected from among the transactions completed by Strong Retail Group during August of the current year: Aug. 5. Sold merchandise on account to M. Quinn, $7,500, terms 2/10, n/30. The cost of the merchandise sold was $4,200. 9. Sold merchandise on account to R. Busch., $4,000, terms 1/10, n/30. The cost of the merchandise sold was $2,100. 15. Received payment on account for the sale of August 5 less the discount. 20. Sold merchandise on account to S. Mooney, $6,000, terms n/eom. The cost of the merchandise sold was $3,300. 25. Received payment on account for the sale of August 9. 31.Received payment on account for the sale of August 20.A. Journalize the August transactions using the gross method of recording sales discounts. Aug. 5 Accounts Receivable-M. Quinn 7,500Sales 7,500 Cost of Goods Sold 4,200 Inventory 4,200 Accounts Receivable-R. Busch 4,000 Sales 4,000 Cost of Goods Sold 2,100 B. Journalize the August transactions using the net method of recording sales discounts. 6 inches for every horizontal change of 12 inches 5 sentences !, Ill give brainliest and help too Angela went to the farmers' market to buy some vegetables. She wanted some yellow squash and zucchini which were both on sale for $1.48 per pound. Angela bought 245 pounds of yellow squash and 3110 pounds of zucchini. To the nearest cent, what was the total cost of the vegetables? (5x10^3) + (4.3x10^4)=