Which of the following is equivalent to the
given expression? *
(1 + sin a/1 - sin a) - (1 – sin a/1 + sin a)

Which Of The Following Is Equivalent To Thegiven Expression? *(1 + Sin A/1 - Sin A) - (1 Sin A/1 + Sin

Answers

Answer 1

Answer:

Solution given:

[tex] \frac{1 + \sin( \alpha ) }{1 - \sin( \alpha ) } - \frac{1 - \sin( \alpha ) }{1 + \sin( \alpha ) } [/tex]

[tex] \frac{(1 + \sin( \alpha )) {}^{2} - (1 - \sin( \alpha ) {}^{2} }{1 - \sin{}^{2} \alpha }[/tex]

[tex] \frac{1 + 2 \sin( \alpha ) + \sin {}^{2} ( \alpha ) - 1 + 2 \sin( \alpha ) - \sin {}^{2} ( \alpha ) }{ { \cos }^{2} \alpha } [/tex]

[tex] \frac{4 \sin( \alpha ) }{ \cos {}^{2}( \alpha ) } [/tex]

[tex]4 \tan( \alpha ) \sec( \alpha ) [/tex]

is your answer.


Related Questions

Which equation could be represented by the number line

Answers

Answer:

A

Step-by-step explanation:

I took the test

I dont understand this got a test tomorrow someone please help

Answers

Answer:

14*6=18 or add them

Step-by-step explanation:

its either multiply or add them together

When Camden runs the 400 meter dash, his finishing times are normally distributed with a mean of 65 seconds and a standard deviation of 1.5 seconds. Using the empirical rule, determine the interval of times that represents the middle 68% of his finishing times in the 400 meter race.

Answers

Answer:

63.5, 66.5

Step-by-step explanation:

Approximately 68% of Camden's finishing times fall within the interval from 63.5 seconds to 66.5 seconds.

What is the empirical rule?

The empirical rule states that for a normal distribution, approximately 68% of the data lies within one standard deviation of the mean, approximately 95% of the data lies within two standard deviations of the mean, and approximately 99.7% of the data lies within three standard deviations of the mean.

Since we want to find the interval that represents the middle 68% of Camden's finishing times, we need to find the range of times that are one standard deviation above and below the mean.

The mean of Camden's finishing times is 65 seconds, and the standard deviation is 1.5 seconds, so the interval that represents the middle 68% of his finishing times is:

[65 - 1.5, 65 + 1.5] = [63.5, 66.5] seconds

This means that approximately 68% of Camden's finishing times fall within the interval from 63.5 seconds to 66.5 seconds.

Learn more about the empirical rules here:

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can someone help me with this???

Answers

Answer:

it's 47 degree answer of your question

It would be 47 degrees

Point F is on line CD. Find the measure of angle CFE. Show your work.

Answers

Answer:

CFD = 180

EFD= 152

180-152= 28

CFE= 28

Step-by-step explanation:

Which is equivalent to 1/2? Select all that apply

Answers

Answer:

options man?

Step-by-step explanation:

1/2 = 2/4 = 3/6 = 4/8 = 5/10 = 6/12 = 7/14 = 8/16 = 9/18 = 10/20 = 11/22 = 12/24

1/2 = 25/50 = 50/100 = 100/200 = 150/300 = 200/400 = 250/500

Answer:

a sin 30

Step-by-step explanation:

i just need more points

The price of Stock A at 9 A.M. was ​$13.88. Since​ then, the price has been increasing at the rate of ​$0.12 each hour. At noon the price of Stock B was ​$14.63. It begins to decrease at the rate of ​$0.08 each hour. If the two rates​ continue, in how many hours will the prices of the two stocks be the​ same?

Answers

Answer: 9 hours

Step-by-step explanation:

how many vertices does this shape have? (Multiple choice)

Answers

Answer:

10

Step-by-step explanation:

Help me if u can if you can it’s fine but plz help me if u can I would really appreciate it

Answers

Answer:

you are right click on 32 °

Find the fare with 15% tip: 4 passengers, 12 miles.

O $21.45
O $22.36
o $23.75
O $24.67

Answers

Answer: 24.67 or D

Step-by-step explanation:

i just took the quiz, goodluck <33

i need help pls and thxs

Answers

Answer:

Step-by-step explanation:

132 degrees

132° because a circle is 360°

PLS HURRRRRRRYYYYY TYYY

Answers

Answer:

It's 15.70796. Won't go in-depth since time seems to be of the essence

Step-by-step explanation:

Won't go in-depth since time seems to be of the essence

What two integers have a sum of -19 and a product of 84?

Answers

-7 x -12

7x12=84

7+12=19

PLEASE ANSWER MY QUESTION

Answers

Answer:

A. 3 stores

Step-by-step explanation:

Answer:

Answer is A

Step-by-step explanation:

There are 3 stores farther than 3.5 miles

using the 45o −45o −90o Triangle theorem.

Solve this triangle.​

Answers

Answer:

take 45 degree as reference angle

using sine rule

sin45=p/h

1/[tex]\sqrt{2}[/tex]=[tex]\sqrt{5}[/tex]/m(do cross multiplication)

[tex]\sqrt{2}[/tex]*[tex]\sqrt{5}[/tex]=m

[tex]\sqrt{10}[/tex]=m

Step-by-step explanation:

A = 10r + 2
what is the value of A if r=3?
12
15
32
105​

Answers

Your answer is 32. Hope this helped
The answer is 32 because 10 x 3= 30 +2 = 32

help me pls and thank you

Answers

Answer: it’s 24

Step-by-step explanation: I need brainliest for next rank I’d appreciate it

Answer:

24

Step-by-step explanation:

Suppose that AB and EF are corresponding sides of similar triangles. If AB=2 and the scale factor is 5, what is EF?

Answers

Answer:

EF=10

Step-by-step explanation:

If they are corresponding,

AB = 2 x Scale factor of 5 = 10

What is the area surface of a cylinder 11x8

Answers

Answer:

400.7 cm^3

Step-by-step explanation:

Determine if a quadrilateral with the given vertices is an isosceles trapezoid. Show and explain all steps to prove or disprove.
A(-5,0) B(5,0) C(-3, 4) D(3, 4)

Answers

By satisfying all the four criteria, the quadrilateral with the vertices A(x, y) = (-5, 0), B(x, y) = (5, 0), C(x, y) = (-3, 4) and D(x, y) = (3, 4) is an isosceles trapezoid.

How to determine if a quadrilateral is an isosceles trapezoid

Based on vectorial expressions, an isosceles trapezoid satisfies the following properties:

(i) [tex]\overrightarrow{CD} = k \cdot \overrightarrow{AB}[/tex], for k ∈ [tex]\mathbb{R}[/tex]    

(ii) AB ≠ CD    

(iii) [tex]\overrightarrow{AC} \neq \overrightarrow {BD}[/tex]  

(iv) AC = BD

Now we proceed to prove each property:

Requisite I

(3 - (-3), 4 - 4) = (6, 0)

(5 - (-5), 0 - 0) = (10, 0)

(6, 0) = (5/3) · (10, 0)


Requisite II

AB = 6, CD = 10

AB ≠ CD

Requisite III

[tex]\overrightarrow{AC} = (2, 4)[/tex]

[tex]\overrightarrow{BD} = (-2, 4)[/tex]

[tex]\overrightarrow{AC} \neq \overrightarrow {BD}[/tex]

Requisite IV

[tex]AC = \sqrt{[-3-(-5)]^{2}+(4-0)^{2}}[/tex]

[tex]AC = \sqrt{2^{2}+4^{2}}[/tex]

[tex]AC = 2\sqrt{5}[/tex]

[tex]BD = \sqrt{(3-5)^{2}+(4-0)^{2}}[/tex]

[tex]BD = \sqrt{(-2)^{2}+4^{2}}[/tex]

[tex]BD = 2\sqrt{5}[/tex]

AC = BD

The figure with the entire quadrilateral is shown below. Therefore, the quadrilateral with the vertices A(x, y) = (-5, 0), B(x, y) = (5, 0), C(x, y) = (-3, 4) and D(x, y) = (3, 4) is an isosceles trapezoid.

To learn more on quadrilaterals: https://brainly.com/question/25240753

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PLEASE HELP MEEEE I NEED THE ANSWER AHH

Answers

answer:

0

step by step explanation:

I THINK THE ANSWER IS 0 BUT I DONT KNOW

Question 5 (1 point) 5 The Cool Shirts company prints personalized designs on T-shirts. The cost y for x shirts with the same design is shown in the table below. y 10 $105 20 $185 30 $265 4:0 $345 Which equation represents the relationship between x and yo! A y = 10x - 55 By = 80x + 105 C y = 8x + 25 D y = 25x + 8 a А B od​

Answers

Answer:

y = 8x + 25

Step-by-step explanation:

Using the coordinates (10, 105) and (20, 185)

The standard linear equation is expressed as y = mx+c

m is the slope

c is the intercept

m = 185 - 105/20-10

m = 80/10

m = 8

Get the y-intercept

Since y = mx+c

105 = 8(10) + c

105 = 80 + c

c = 105 - 80

c = 25

Get the required equation

Recall that y = mx+c

y = 8x + 25

Hence the required equation is y = 8x + 25

which number sentence is true? plz help
3 boxes on top
8 boxes on the bottom
2/3 < 6/8

2/3 < 2/8

1/8 > 1/3

3/3 < 3/8

Answers

Answer:

True: 2/3 < 6/8

Step-by-step explanation:

The rest are incorrect.

Solve each system of linear equations by using substitution method.

x - y = -2
2x + y =5

100 POINTS PLS ANSWER

Answers

Answer: x=1 y=3....do you need to show your work?

Answer:

x = 1, y = 3

Step-by-step explanation:

Given:

x - y = -2

2x + y = 5

First, add y on both sides for the first equation.

x = y - 2

Then, plug in x into the second equation.

2(y -2) + y = 5

2y - 4 + y = 5

3y = 9

y = 3.

Next, now that you've found y, plug it into either the first or second equation to solve for x. I'll be using the second equation.

2x + 3 = 5

2x = 2

x = 1.

Ans: x = 1, y = 3

Please help!

Use the quadratic formula to solve 2x^2=5x+6. Leave your answer in radical form. Show all of your work!

Answers

Answer:

roots are [(5 - [tex]\sqrt{73}[/tex]) / 4] and [(5 + [tex]\sqrt{73}[/tex]) / 4]

Step-by-step explanation:

[-b ± √b² - (4ac)] ÷2a

2x² - 5x - 6 = 0

a = 2

b = -5

c = -6

[5 ± √5² - 4(2)(-6)] ÷ 2(2)

[5 ± √25 - (-48)] ÷ 4

[5 ± √73] ÷ 4

PLEASE HELP ME THIS IS URGENT

Answers

Split this figure out. Find the area of the square, as well as the rectangle.

First, the square

A= 4 x 3

A= 12 ft^2

Therefore, the square has an area of 12ft^2.

Then, the rectangle.

We must first find the length of the unknown side.

We have two measurements of 3ft on each side, as well as the middle measurement of 4ft.

So,

3+3+4=10

Now, find the area.

A= 2 x 10

A=20ft^2

Add the areas.

20+12=32ft^2

Therefore, the area of the figure is 32ft^2.

I hope this is correct. Best of luck.

help me and please tell me how did you get the answer​

Answers

Answer:

The sum is 10

Step-by-step explanation:

Given: 2 1/2 + 2 1/2 + 2 1/2 + 2 1/2

Rewrite: 4(2 1/2)

Make fraction improper: 4(5/2)

Distribute: 20/2

Simplify: 10

the answer is 10
how i got the answer was buy adding all the 2s together to get 8 and then i added all the half’s witch made 2 and all there was left to do was add the 2 and the 8 to get 10

How do you factor trinomials step by step

Answers

Answer:

Step 1: Identify the values for b and c. In this example, b=6 and c=8.

Step 2: Find two numbers that ADD to b and MULTIPLY to c. This step can take a little bit of trial-and-error. ...

Step 3: Use the numbers you picked to write out the factors and check

Step-by-step explanation:

thank me later

solve the equation 3(x- 4) = 5​

Answers

Answer:

Step-by-step explanation:

3(x-4)=5         use distributive property

3x-12=5         add 12 to both sides

3x=17             isolate x by dividing both sides by 3

x=5.66 repeating or 5 2/3

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{3(x- 4) = 5}[/tex]

[tex]\large\textsf{DISTRIBUTE 3 within your parentheses}[/tex]

[tex]\mathsf{3(x) + 3(-4) = 5}[/tex]

[tex]\mathsf{3(x) = \bf 3x}[/tex]

[tex]\mathsf{3(-4)=\bf -12}[/tex]

[tex]\large\text{NEW EQUATION: \textsf{3x - 12 = 5}}[/tex]

[tex]\mathsf{3x - 12 = 5}[/tex]

[tex]\large\textsf{ADD 12 to BOTH SIDES}[/tex]

[tex]\mathsf{3x - 12 + 12 = 5+12}[/tex]

[tex]\large\text{CANCEL out: \textsf{-12 + 12} because that gives you \textsf{0}}[/tex]

[tex]\large\text{KEEP: \textsf{5 + 12} because it helps solve for the \textsf{x value}}[/tex]

[tex]\mathsf{5+12=\bf 17}[/tex]

[tex]\large\text{NEW EQUATION: \textsf{3x = 17}}[/tex]

[tex]\mathsf{3x = 17}[/tex]

[tex]\large\textsf{DIVIDE 3 to BOTH SIDES}[/tex]

[tex]\mathsf{\dfrac{3x}{3}=\dfrac{17}{3}}[/tex]

[tex]\large\text{CANCEL out: }\mathsf{\dfrac{3}{3}}\large\text{ because that gives you the value of \textsf{1}}[/tex]

[tex]\large\text{KEEP: }\mathsf{\dfrac{17}{3}}\large\text{ because it gives you the \textsf{x value}}[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: }\mathsf{x = \bf \dfrac{17}{3}}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Please help!!! 20 points

Answers

Answer:

4) 2xy(x^2-2x-8)  2xy(x-4) (x+2)

5) 3(x^2-9x-10   3(x+1) (x-10)

Step-by-step explanation:

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