prove tan2 x sin2 x = tan2 x − sin2 x​

Answers

Answer 1

Answer:

SEE BELOW

Step-by-step explanation:

to understand thisyou need to know about:trigonometryPEMDAStips and formulas:tanA=sinA/cosAsin²A=1-cos²Alet's solve:L.H.S=[tex] \sf rewrite \: \tan ^{2} (x) \: as \: \frac{sin ^{2}(x) }{ \cos ^{2} (x) } : \\ \sf \sin^{2} (x). (\frac{sin ^{2}(x) }{ \cos ^{2} (x) }) [/tex][tex] \sf rewrite \: si {n}^{2} x \: as \: 1 - co {s}^{2} x : \\ \sf \sin^{2} (x). \{\frac{1 - cos ^{2}(x) }{ {cos}^{2}(x) } \}[/tex][tex] \sf \: rewrite: \\ \sf \sin^{2} (x). \{\frac{1 }{ {cos}^{2}(x) } - 1\}[/tex][tex] \sf distribute : \\ \frac{ \sin ^{2} (x) }{ \cos ^{2} (x) } - \sin ^{2} (x) \\ \tan ^{2} (x) - \sin ^{2} (x) [/tex]=R.H.S

Related Questions

need this one 12.8+0.4

Answers

Answer:

13.2

Step-by-step explanation:

12.8+0.4=13.2

because 0.8 +0.4=1.2 so drag the one to 12 so 12 +1 = 13.2

Answer:

13.2

Step-by-step explanation:

12.8

+

0.4

________

13.2

Hope u have a great day/night!

Choose Yes or No to tell if the fraction 13 will make each equation true. 58+□=2324 No 512+□=34 Choose... 1318−□=45 Choose... 815−□=15 No

Answers

Answer:

Yes

Yes

No

Yes

Step-by-step explanation:

Check if 1/3 will make the equations TRUE.

5/8 + 1/3

(15 + 8) / 24 = 23 /24

5/12 + 1/3

(5 + 4) / 12 = 9/12 = 3/4

13/18 - 1/3

(13 - 6) / 18

7 / 18

8/15 - 1/3

(8 - 5) / 15

3/15 = 1/5


[tex](x - 7)(x - 5) = 3[/tex]

Answers

Answer:

x = 4, x = 8

Step-by-step explanation:

Given

(x - 7)(x - 5) = 3 ← expand factors using FOIL

x² - 12x + 35 = 3 ( subtract 3 from both sides )

x² - 12x + 32 = 0 ← in standard form

(x - 4)(x - 8) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 4 = 0 ⇒ x = 4

x - 8 = 0 ⇒ x = 8

I need help ASAP! The picture is provided

Answers

Answer:

B

Step-by-step explanation:

if you you have x2 and 10 subtract

x2-10 this is because 2 x 5 is 10

very sorry if wrong

Answer:

b. x²-10

Step-by-step explanation:

Area of the whole square: x² because x*x = x²

area of unshaded area: 5*2 = 10

so shaded area: area of whole square - area of unshaded area

x² - 10

What is the volume of the prism below?

Answers

Answer:

v=Bh

B=6×4.5

v=27×9

v=243ft³

Hello can you help me with this please ​

Answers

Answer:

x=5

Step-by-step explanation:

y= 8x + 20

60= 8x + 20

40= 8x

x=5

5, if 60 is your budget and u send 20 on supplies that is 40. 40 divided by 8 is 5

Elizabeth bought 8 chicken wings for $10.40. How much does each wing cost?

Answers

Answer:

$1.30

Step-by-step explanation:

If 8 chicken wings is $10.40, to find the amount per chicken wing $10.40 gets divided by 8.

I think it's 0.8 wing per dollar

Can someone help me asap

Answers

Answer:

2) 3 : 15 = 1 : 5

3) 22 : 38 = 11 : 19

4) 2 : 5 = 26 : 65

Step-by-step explanation:

2) 5, 3, 1, 15

3 : 15 = 1 : 5

If you simplify 3 : 15 you get 1 : 5 and 1 : 5 = 1 : 5.

3) 19, 22, 11, 38

22 : 38 = 11 : 19

If you simplify 22 : 38 you get 11 : 19 and 11 : 19 = 11 : 19.

4) 65, 2, 26, 5

2 : 5 = 26 : 65

If you simplify 26 : 65 you get 2 : 5 and 2 : 5 = 2 : 5.

Hope this helps and stay safe, happy, and healthy, thank you :) !!

Pls help me do this

Answers

Answer:

Should be SY and ZY or ST and ZX

Step-by-step explanation:

Which of the following is true about the diagonals of a rectangle? Select all that are true.
Diagonals bisect each other.
Diagonals are congruent.
Diagonals are perpendicular.
Diagonals bisect the angles.

Answers

Answer:

Diagonals bisect each other.Diagonals are congruent.Diagonals are perpendicular.Diagonals bisect the angles

60 POINTS!! PLS BRAINLY PLEASE DONT ANSWER IF YOU DONT KNOW ITS TIMED :(( THANKS!! :)

Answers

Answer:

well i would asome u know about earth qaks but

theyb happen when 2 techtonic plat hit each other. when that haopends they can make a mouten and the moutian keep growing and gowing.that is  some of the main thanges about earth qacks. but that only happened when earthe qacks happen basically what they do is they shake the ground makeing the plates move and hit each other. wich then makes the moutinen and hills too its the same thage all over again

Step-by-step explanation:

sorry for all the bad spelling im typeing fasttt  

mark me branly plesasesss

Sandeep uses 1/5 of a cup of vinegar in his salad dressing recipe. How much vinegar would Sandeep use to make 4/5 of a recipe?

Answers

Answer:

4 /25

Step-by-step explanation:

Given that :

Cup of vinegar used per recipe = 1/5 cup

Amount of vinegar to be used for 4/5 of a recipe ;

1 cup recipe = 1/5 cup vinegar

4/5 cup recipe = x

Cross multiply :

x = 1/5 * 4/5

x = 4/25 cup

Hence, Sandeep will use 4/25 cup of vinegar

Aubree has a points card for a movie theater.
She receives 80 rewards points just for signing up.
• She earns 12.5 points for each visit to the movie theater.
She needs at least 175 points for a free movie ticket.

Answers

Answer:

8 visits

Step-by-step explanation:

175 - 80 =

95 / 12.5 =

7.6

That means 8 trips

Hope that helps!

Answer:

8 visits

Step-by-step explanation:

Simplify the expression. 1/3r + 1/4 + 2/3r + 3/4​

Answers

Answer:

r+1

Step-by-step explanation:

Answer:

r + 1

Step-by-step explanation:

Combine like terms. Add the constants together and add the terms with the variable r together. In order to add fractions, keep the common denominator and add only the numerators together. Then, simplify, and divide the numerator by the denominator if the result is a whole number.

This gives the following answer:

[tex]\frac{1}{3} r+\frac{1}{4} +\frac{2}{3} r+\frac{3}{4} \\=\frac{1}{3} r+\frac{2}{3} r+\frac{1}{4} +\frac{3}{4}\\=\frac{3}{3} r+\frac{4}{4} \\=r+1[/tex]

The line represented by the equation 4y + 2x = 33.6 shares a solution point with the line represented by the table below. The solution for this system is:

Answers

Answer:

(6.0)(5.4)

Step-by-step explanation:

First we have to find the equation of the line represented in the table; for that we have to find it's slope  and it's y-intercept  and then write it in the following form:

The slope  of the line we get from first two points:

thus we have

we find  by putting the point  into the function:

Thus we have

Now we have to find where this line intersects with ; to do this we just substitute  with :

We have the x-coordinate of  the intersection.

We find the y-coordinate by substituting  into :

On Monday, it snowed 40 inches in 10 hours. On Thursday, it snowed 21 inches in 7 hours. On which day did it snow at a greater rate each hour?

Answers

Answer:

On Monday

Step-by-step explanation:

40÷10=4

21÷7=3

So per hr 4 is bigger, so on Monday

Consider the glven solids with the dimensions shown. Which solids are similar?
A. only figure 1 and figure 2
B. only figure 1 and figure 3
C. only figure 2 and figure 3
D. all three figures​

Answers

Answer:

A) only figure 1 and figure 2

Step-by-step explanation:

Answer: Choice A) only figure 1 and figure 2

===========================================================

Explanation:

Let's assume that figure 2 is similar to figure 3.

If this is the case, then the horizontal portions would divide to 30/15 = 2, showing that figure 3 has sides that are twice as long compared to figure 2. But then notice that the vertical sides divide to 36/24 = 1.5, which doesn't match with the previous result of 2.

Figures 2 and 3 cannot be similar for that reason.

Also, figures 1 and 3 are not similar either. Note the horizontal portions divide to 30/10 = 3 while the vertical portions divide to 36/16 = 2.25; the results 3 and 2.25 don't match.

We eliminate answers B, C and D. The only thing left is choice A.

-------------------

To verify choice A is true, we divide each corresponding piece like so

Horizontal: 15/10 = 1.5Vertical: 24/16 = 1.5Slanted: 12/8 = 1.5

Each division leads to the same result of 1.5, meaning that figure 2's side lengths are 1.5 times longer than the corresponding side lengths of figure 1. So this confirms that figure 1 is similar to figure 2.

Math questions plss mark u brainlist

Answers

Answer:

4

Step-by-step explanation:

Hello There!

The slope is the change in y over the change in x

In the table as y goes up 4 x goes up 1

so the slope is 4/1 or 4

The length of a rectangle is 5 yd less than twice the width, and the area of the rectangle is 33 yd?. Find the dimensions of the rectangle.

Answers

Answer:

Step-by-step explanation:

L=2W-5

A=LW, using L from above gives you

A=(2W-5)W

A=2W^2-5W

2W^2-5W-A=0, since A=33yd^2

2W^2-5W-33=0

2W^2+6W-11W-33=0

2W(W+3)-11(W+3)=0

(2W-11)(W+3)=0, since W>0

W=11/2

W=5.5yd, since L=2W-5

L=6yd

So the dimensions are W by L, 5.5yd by 6yd

Help plz the faster the better anyone :(

Answers

Answer:

10.080229881683 yards2

Step-by-step explanation:

Find the volume of the cone.
13 cm
n = 9 cm

Answers

V = 350π cm3..................

Answer:

V = 1102.7 cm^3

Step-by-step explanation:

1. Volume of Cone Formula

[tex]V=\frac{1}{3}*h*\pi *r^{2}[/tex]

2. Variables: h = 13 cm r = 9 cm

3. Plug in numbers

[tex]V=\frac{1}{3}*13*\pi *9^{2}[/tex]

V ≈ 1102.69 cm^3

please help me with this question​

Answers

Answer:

[tex]y=-2\\[/tex]

Step-by-step explanation:

Use the values of the unit circle to get the (x,y) when Θ=[tex]\frac{11\pi}{6}[/tex], which is [tex](\frac{\sqrt{3}}{2}, -\frac{1}{2})[/tex].

The cosecant (csc) function is the reciprocal of the sine function, so we take the y value and take the reciprocal of it, which is -2.

If I helped, a brainliest answer would be greatly appreciated.

tell me a FUNEI i need a laguf pls and thx

Answers

hi this is my BFF can u tell him to have a nice day thx

Christina Fox took out a simple interest loan at 5 percent for 12 months. Her previous balance is $200. What is the interest for the next payment?

a. $0.83
b. $0.99
c. $0.59
d. $1.37

Answers

Answer:

a. $0.83

Step-by-step explanation:

Calculation for the interest for the next payment

Using this formula

Next payment Interest=Previous balance*Simple interest loan percentage/Numbers of months

Let plug in the formula

Next payment Interest=$200*0.05/12

Next payment Interest=0.83

Therefore the interest for the next payment will be 0.83

Answer:

the answer is "A. $0.83........

Mr. Math invested $300 in an investment that is guaranteed to grow 5% per
year (compounded interest). How much will he have in three years?

Answers

Answer:45 Don't take the answer might be wrong

Step-by-step explanation:

Are these two lines parallel, perpendicular or neither

Answers

Answer:

parallel

Step-by-step explanation

Graph the inequality on a number line z<1 1/4

Answers

Answer:

Step-by-step explanation:

The inequality can be seen graphed in the number line that I have created in the attached picture below. As you can see the open circle represents the value 1 1/4 and is an open circle because it is not included in the inequality. This is because the variable z is less than but NOT equal to 1 1/4. Also since z is any number less than 1 1/4 then the number line goes towards negative infinity.


Which graph shows a proportional relationship between x and y?

Answers

Answer:

B

Step-by-step explanation:

The one that goes through the middle

Hope this helps

If x = -5 and y = 2x”, then y =

Answers

2(-5)=10. Answer: y=10

9x + 3y = 6 and 3x + 9y = 6
Tell whether the lines are parallel, perpendicular or neither:
a)neither
b)parallel
c)perpendicular

Answers

Answer:

neither

Step-by-step explanation:

Have a great day!

Other Questions
Rhonda has 3/4 of her book left toread. If she reads another 1/4 of thebook, then how much will she have leftto read. What are the possible values for m and n How have conflicts limited progress in Sudan and Somali? 13A 14-foot ladder is set up 4 feet from the base of a building. How far up the building does the ladder reach? Round youranswer to the nearest tenth of a foot.A 13.4 feetB14.6 feet16.5 feetD 18.0 feet SOMEONE HELP ME plzz Compare metamorphic rock and intrusive igneous rock in terms of how and where they form. Then compare sedimentary rock and extrusive igneous rock in terms of how and where they form.-I need help I only have 13 points and I'll try to give a good amount.(there is not one that just says science so i chose random subject) hi you guys this is my last question for today so can any one show love and answer this question plllllllllslssssssss ...........janet has one rectangular shaped paper with a lenght of 11/12 foot and and width of 3/4 foot ......write n eqaution how many sqaure feet and how much paper do she have EXPERT HELP EXPLAIN THE ANSWER AND DON'T GUESS: Which process results in the embryo stage of a eukaryotic life cycle?A. Body features change during molting.B. Meiosis produces gametes.C. Body features change during metamorphosis.D. A zygote divides using mitosis.B or D Help me please, will give extra 100 points and brainliest to whoever answers correctly. PLEASEEEEEEEEEEE Hi I need help and Ill give brainliest for correct answers 1. HighestCommon factor of 48 and 72 4. Roger was growing plants for his science project. He measured the plants every day.He found that one plant grew 1/3 of an inch every day for 10 days. How many inchesdid the plant grow in those 10 days? Deep WW2 thinking and Theory time!What if Hitler decided to test his Army(The Wehrmacht, Waffen-SS, and the Luftwaffe, as well as his Panzers) and attack the Maginot line instead of crossing through Belgium to avoid it? What would happen? Would Trench warfare happen again? plsss helppp hurryyy !how are solar and lunar eclipses similar ?a ; they both can be total or partialb ; they both happen several times each yearc ; they both can be seen all over the earthd ; they both are unsafe to watch without special equipment Which function is equivalent to h(x) = 16x^2- 24x+9?a. h(x) =(4x-3)^2b. h(x)=(8x+9)^2c. h(x) = (4x+3) ^2d. h(x) =(8x-9)^2need help asap! answer choicesa)succession after a fireb) tree leaf replacement after a stormc)decreased sources diversityd)repeated habitat destruction Select the correct answer.When he takes a picture, Simon freezes an action without blurring it, to show movement. Which type of photographer is he?A. portrait photographerB. fashion photographerC. architecture photographerD. action photographer Sandra bought a new coat for $49.99 and 3 skirts for $24.99 each. If the sales tax rate is 7%, tothe nearest cent what is the amount of sales tax Sandra will owe on the purchase? What is one reason third parties are worth VOTE paying attention to on election day? A. Third parties often win. B. Third parties can steal away votes. C. Third parties have different ballots. leila and joe are two partner's in a business. leila makes $2 in profits for every $5 that jo makes if jo makes $25 profit on the first item they sell, how much profit does leila make