(sec(x) sin^2(x)) / (1 + sec(x)) simplifyy pls

Answers

Answer 1

Answer:

[tex]1-\cos \left(x\right)[/tex]

Step-by-step explanation:

[tex]\frac{\sec \left(x\right)\sin ^2\left(x\right)}{1+\sec \left(x\right)}[/tex]

Use the identity: [tex]\sec \left(x\right)=\frac{1}{\cos \left(x\right)}[/tex]

[tex]\frac{\frac{1}{\cos \left(x\right)}\sin ^2\left(x\right)}{1+\frac{1}{\cos \left(x\right)}}[/tex]

[tex]\frac{\frac{1}{\cos \left(x\right)}\sin ^2\left(x\right)}{\frac{\cos \left(x\right)+1}{\cos \left(x\right)}}[/tex]

[tex]\frac{\frac{\sin ^2\left(x\right)}{\cos \left(x\right)}}{\frac{\cos \left(x\right)+1}{\cos \left(x\right)}}[/tex]

Divide them using [tex]\frac{\frac{a}{b}}{\frac{c}{d}}=\frac{a\times d}{b\times c}[/tex]

[tex]\frac{\sin ^2\left(x\right)\cos \left(x\right)}{\cos \left(x\right)\left(\cos \left(x\right)+1\right)}[/tex]

Cancel cos(x):

[tex]\frac{\sin ^2\left(x\right)}{\cos \left(x\right)+1}[/tex]

Use the identity: [tex]\sin ^2\left(x\right)=1-\cos ^2\left(x\right)[/tex]

[tex]\frac{1-\cos ^2\left(x\right)}{1+\cos \left(x\right)}[/tex]

[tex]\frac{-\left(\cos ^2\left(x\right)-1\right)}{1+cos(x)}[/tex]

Use the difference of squares formula:

[tex]-\frac{\left(\cos \left(x\right)+1\right)\left(\cos \left(x\right)-1\right)}{1+\cos \left(x\right)}[/tex]

Cancel out 1+cos(x):

[tex]-\left(\cos \left(x\right)-1\right)[/tex]

Remove outer bracket:

[tex]-\cos \left(x\right)+1[/tex]

[tex]1-cos(x)[/tex]


Related Questions

Can someone plz help ☹️☹️☹️

Answers

Answer:

35

Step-by-step explanation:

x=3x-70

because corresponding angles are congruent

Solve the equation to find x.

What are the new vertices of triangle QRS, shown, if the triangle is reflected across the line y = x, also shown? Question 6 options: A) Q′ = (–2,–3), R′ = (1,1), S′ = (2,–1) B) Q′ = (2,–4), R′ = (4,0), S′ = (3,–1) C) Q′ = (2,–5), R′ = (5,0), S′ = (2,–1) D) Q′ = (5,2), R′ = (0,5), S′ = (1,2)

Answers

Answer:

C

Step-by-step explanation:

Under a reflection in the line y = x

a point (x, y ) → (y, x ) , thus

Q(- 5, 2 ) → Q'(2, - 5 )

R(0, 5 ) → R'(5, 0 )

S(- 1, 2 ) → S'(2, - 1 )

The coordinates of the reflected point under a line y = x will be Q′ = (2,–5), R′ = (5,0), S′ = (2,–1).

What is a reflection of a point in coordinate geometry?

The reflection of a point in coordinate geometry is the image formed concerning the x-axis, y-axis, or origin.

Under a reflection in the line y = x

A point (x, y ) has reflected point (- x, - y )

Thus,

The coordinates of the reflected point under a line y = x will be Q(- 5, 2 ) → Q'(2, - 5 )

The coordinates of the reflected point under a line y = x will be R(0, 5 ) → R'(5, 0 )

The coordinates of the reflected point under a line y = x will be S(- 1, 2 ) → S'(2, - 1 )

Thus, option C is the correct one.

Learn more about reflected ;

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Please answer all questions step by step PLEASE HELPP!!!! I'LL MARK YOU AS BRAINLIEST

Answers

I think your teacher's just asking for the multiplied out version, so there's no work to do

3. -2(3m + 9) = -6m - 11

4. -6(z-1) = -6z + 6

5. -(m +1) = -m - 1

6.  -(x+4) = x = 4

7.  b(a- 6) = ab - 6b

8. 7a(3b -2c + 4) = 21ab - 14ac +28a

9. 1/2(8x + 2) = 4x + 1

10. 2/3(1/4x -6) = 1/6x - 4

Answer:

3. -2(3m + 9) = -6m - 11

4. -6(z-1) = -6z + 6

5. -(m +1) = -m - 1

6.  -(x+4) = x = 4

7.  b(a- 6) = ab - 6b

8. 7a(3b -2c + 4) = 21ab - 14ac +28a

9. 1/2(8x + 2) = 4x + 1

10. 2/3(1/4x -6) = 1/6x - 4

Step-by-step explanation:

In a classroom, there are 12 boys and 6 girls. The teacher needs one student to take a note to the
office. What is the probability the teacher randomly picks a girl? Write your answer as a reduced fractior

Answers

Answer:

1/3

Step-by-step explanation:

There are 12 boys and 6 girls, meaning there are 18 students. The girls are 1/3 out of those 18.

A landscaping company is laying a triangular flower bed. The height of the trangle is 15ft. What lengths of the base will make the area at least 210ft squared?

Answers

Answer:

28 ft

Step-by-step explanation:

The height of the triangle = 15 ft

The least required area A = 210 ft^2

We know that the area of a triangle = 1/2bh

Where

b is the base

h is the height

Substituting, we have

210 = 1/2 x b x 15

210 = 15/2 x b

420/15 = b

b = 28 ft

URGENT!!! James has $40 to spend. He wants to buy two tickets to a show. He has to spend $7 to get to where tickets are sold. The following inequality can be used to find out the highest price James can afford to pay for each ticket. 2r +7 23.5 Or> 16.5​

Answers

Answer: If James has 40 to spend then he has 33 for the two tickets he also has to get back so thats 26.

Step-by-step explanation:

can someone please solve this

Answers

Answer:

See below

Step-by-step explanation:

a) x² + 3x = x(x+3)b) 2x² - 8x = 2x(x -4)c) 6x + 9x³ = 3x(2 + 3x²)d) 12x³ - 4x² = 4x²(3x - 1)

Someone help !! These are Absolute values & integers !!

Answers

Answer:

4,9,12,24,5,5,1,11,9,9

Step-by-step explanation:

those are the anwsers, in order

see if you solve this types of sum firstly you understand it ok

+ × += +

+ × -= -

- × - =+

ok

like 2 +[-3]

ok + × - = -

ok

like you subtract it 2+ [-3]

2-3 = 1

If m/n = 3, what does 2n/m equal?

Answers

(Hard) A composite number n is called a Carmichael number bn−1 ≡ 1 (mod n) for every number b such ... Base case: When n = 2 the formula a + c ≡ b + d (mod m) was already given. ... The sequence goes 1, 3, 7, 15, 31,... guess that it is equal to 2n+1 − 1. ... Prove (now using induction on n) that fm|fmn for all n ≥ 1.

Answer:

That would be n[tex]\geq 1\\[/tex]

Step-by-step explanation:

26 divided by 5 1/2 I dont know!!

Answers

Answer:

4.727

Step-by-step explanation:

An easy way to think of something being divided by a fraction is by turning the fraction into a decimal. In this case, it's 5 1/2, which is the same as 5.5. So, you can just calculate 26 / 5.5, by hand, or on a calculator, and the answer is 4.727.

Hope this helps!

Hey there!☺

[tex]Answer:\boxed{4\frac{8}{11}}[/tex]

[tex]Explanation:[/tex]

[tex]26/5\frac{1}{2}[/tex]

Divide both fractions.

[tex]26/5\frac{1}{2}=\frac{52}{11}[/tex]

52/11 needs to be simplified so let's simplify it.

[tex]\frac{52}{11}=4\frac{8}{11}[/tex]

[tex]4\frac{8}{11}[/tex] is our final answer.

Hope this helps!

what is 3n + 12? im so confused

Answers

3(n+4) should be it
It's an nth term for a sequence
So
I'm not really good at explaining but basically
3n means the three times table
And then to each number you add 12
So
3,6,9,12,15
(+12)
So your final answer is:
15,18,21,24

help dont understand like its confusing one minute u add then substract like...

Answers

Answer:

53 degrees

Step-by-step explanation:

< will be angle UwU (using pc)

m<JKM = 151 degrees is the total angle combining m<1 and M<2

therefore, we subtract m<2 from m<JKM to find m<1

Here is the equation:

m<JKM = m<1 + m<2

151 = m<1 + 98 (substitute)

53 = m<1 (simplify the like term so we subtracted 98 on both sides)

hope this helps!

Jasmine has 8 packs of candle wax to make scented candles. Each pack contains 14 oz of wax. Jasmine uses 7 oz to make one candle. How many candles can she make?

Answers

16 candles. 14 multiplied by 8 equals 112. 112 divided by 7 equals 16.

A function f(x) is graphed.
What is the slope of the function?
m =
A.1
B.2
C.3
D.4
What is the y-intercept of the function?
b =
A.-2
B.-1
C.1
D.2
Which equation represents the graph of the function?
A.y=-x+2
B.y=x+2
C.y=2x+1
D.y=-2x+1

Answers

Answer:

B, C, C

Step-by-step explanation:

slope: B. 2
- this is because slope= rise/run
- the rise is 2 and the run is 1
-2/1= 2

y-intercept: C. 1
- this is where the line crosses the y-axis (the vertical line in the center)

equation: C. 2x+1
- this is in slope-intercept form; y=mx+b
- m is equal to the slope which we determined is 2
- b is equal to the y-intercept which we determined is 1

If Adam orders a book from Store X, how much will he owe to the nearest cent? The tax rate only applies to the cost of
the book.
Comparison of Online Bookstores
Store X
$17.00
6%
Store Y
$18.00
8%
Cost of book
Tax rate
Shipping.









HELP FAST! ILL GIVE BRAINLIEST TO WHOEVER ANSWERS FIRST
10% of cost of the book
FREE
O $17.16
$19.72
$21.53
$27.20

Answers

Answer:

B) $19.72

Step-by-step explanation:

Sorry if I am late, hope you got a good grade:)

I got a 100 on the test for edge 2020

Answer:

B

Step-by-step explanation:

Y is the midpoint of line segment XZ. The coordinates
of Y are (1, 8) and the coordinates of X are (-10, –12).
What are the coordinates of Z?

Answers

Answer:

work is attached and shown

Help me with Rational and Irrational!

Answers

Rational Numbers:  Any number that can be expressed as a fraction or ratio that may contain repeating decimals, or terminating decimals.

Irrational Numbers:  Any number that cannot be expressed as a fraction or ratio that has non-repeating non-terminating decimals.

With this information, sort the given values into one of each of these categories.

Cheers.

Which of the following is a figure consisting of two rays with the same endpoint? Angle Circle Line Vertex

Answers

Answer:Angle

Step-by-step explanation:

The angle is the figure consisting of two rays with the same endpoint option (A) angle is correct.

What is an angle?

When two lines or rays converge at the same point, the measurement between them is called an "Angle."

It is given that

The figures are:

AngleCircleLineVertex

As we know the circle can be described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)

From the definition of the angle; two lines or rays converge at the same point.

Thus, the angle is the figure consisting of two rays with the same endpoint option (A) angle is correct.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture

Learn more about the angle here:

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A rain gutter is made from aluminum sheets that
28 cm wide. The first step in forming a rain gutter is to lift the edges of the aluminum sheet to form right angles, as show in in the illustration below. The cross-section
area formed by the raised edges affects the water flow. This cross-section area, A, can be represented by the function A = x(28-2x) where x
represents the height of the raised edges.
1. To the nearest centimetre, determine the height of the raised edge, x cm, which will maximize the
transverse area.

Answers

Answer:

               7 cm

Step-by-step explanation:

For any quadratic function f(x)=ax²+bx+c given in form f(x)=a(x-h)²+k, where:

h=-b/2a  and k=f(h) the point (h, k) is vertex of the function graph.

It means that k is maximum (if a<0) or minimum (if a>0) value of function and x=h is the x which will maximize function.

A(x) = x(28-2x) = 28x - 2x² = - 2x² + 28x ⇒ a = -2 , b = 28

h = -28/[2•(-2)] = 7

Flavio is driving along a highway at a speed of 30 meters per second. If Flavio drives for 2 hours at this speed, how many miles
will he travel? Round to the nearest whole number. (1 point)

A.60
B.134
C.67
D.37

Answers

Answer:A.60

Step-by-step explanation:

Answer:

b.134

Step-by-step explanation:

1609 meters in every mile

30x60=1800 meters in one minute

1800x60=108,000 meters every hour

108,000x2=216,000 divide that by 1609 .216,000 divided by 1609=134.2449

Complete the following statement.
16/
= -8

Answers

16 / x = -8

First, let's divide both sides by x.

16 = -8x

Divide both sides by -8

-2 = x

16 / -2 = -8

Answer:

m = -2

Step-by-step explanation:

16 / m = -8

→ 16 = -8m

→ m = 16/-8

→ m = -2

f(x) = x2. What is g(x)?

Answers

Answer:

I think ot a it been awhile sense I did algebra

Find the distance between the points L(7,-1) and MC (– 2, 4).
The exact distance between the two points is

Answers

Answer:

d= 10.30

Step-by-step explanation:

Using distance formula:

d=√(-2-7)² + (4--1)²

d=√(-9)² + (5)²

d=√81 + 25

d=√106

d≈ 10.296

Answer:

Step-by-step explanation: not right

Is the following number rational or irrational?
6 1/2

Answers

Answer:

yes it  is a rational number

Step-by-step explanation:

if we convert the mixed fraction into an improper fraction, we will get:

6 1/2  = 13/2

Recall that the definition of an Rational number is that it can be expressed as a division of two integers.

in our case, the numerator is 13 (which is an integer) and the denominator is 2 (which is also an integer)

hence according to our definition it is a rational number

The mixed fraction number 6 1/2 is a terminating number. Then the number is a rational number.

What is a rational number?

If the value of a numerical expression is terminating then they are the rational number then they are called the rational number and if the value of a numerical expression is non-terminating then they are called an irrational number.

The mixed fraction number is given below.

⇒ 6  1/2

Convert the mixed fraction number into the fraction number. Then we have

⇒ 6  1/2

⇒ 6 + 1/2

⇒ (12 + 1)/2

⇒ 13/2

Convert the fraction number into a decimal number. Then we have

⇒ 13/2

⇒ 6.5

The mixed fraction number 6 1/2 is a terminating number. Then the number is a rational number.

More about the rational number link is given below.

https://brainly.com/question/9466779

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If p(x) = 5(22 +1) + 16, what is the value of p(11)? O A. 690 O B. 736 O C. 622 O D. 626​

Answers

Answer: 626

Step-by-step explanation:

Don elias es un agricultor de papas y va a vender sus productos a las bodegas de la central de abastos de su ciudad.Al preguntar el precio por kilo de la papa le informan que estaba a 18.30 pesos si en su camioneta lleva 2,675 kg ¿Cuanto dinero recibe por su venta?

Answers

Answer:

48,952.5 pesos

Step-by-step explanation:

Aquí en esta pregunta queremos calcular el monto a pagar por una mercancía, dado que se paga una cierta cantidad por kg de mercancía.

En la pregunta se nos dice que por kg de papa se paga 18.30 pesos Ahora, en el camión, hay 2.675 kg de patatas El monto a pagar por esto será;

la cantidad por kilogramo * número de kilogramos de patatas

= 18.30 * 2675 = 48,952.5 pesos

Solve the following problem. My bank account balance was $7676 and i withdrew amounts of $1369, $2618, and $937. What is my balance now?!??!

Answers

$7676 - $1369 = $6307
$6307 - $2618 = $3689
$3689 - $937 = $2752
There is $2,752 left in the bank account.

please help I need help​

Answers

Answer:

its option 3;92667

Step-by-step explanation:

6 and 8 is 68 so 9 2667 its 92667

in the himalaya mountains allong the border of tibet and nepal mount everest reaches a record height of 29,035 feet. How high is mount everest in miles? In kilometers? In meters?
ASK YOUR QUESTION

Answers

Answer:

Step-by-step explanation:

In miles it is 29,035 / 5280

= 5.5 miles.

In kilometers it is 5.5 / 0.621 kilometres

= 8.857 km.

= 8857 m.

Answer:

In miles it is 29,035 / 5280= 5.5 miles I umm belive

Step-by-step explanation:

(14): Rounding.
3. What is 2,458 rounded to the nearest hundred?
0 3,000
0 2,500
2,400
0 2,000

Answers

Answer:2.500

Step-by-step explanation:

when rounding up to the nearest hundred you look at the tenths, if the tenths is 50 and above, you round up, when 49 and below, you round down.

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