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eduard
3 years ago
8

Verify the identity: (1-sinx)/cosx = cosx/(1+sinx)

Mathematics
1 answer:
Lisa [10]3 years ago
4 0
For the answer to the question above,
<span>Let's work with the left-hand side 
We're going to times cosx/1-sinx by 1+sinx/1+sinx, you can do this because 1+sinx/1+sinx is equal to 1, so you aren't really changing anything. 

After you've times the top and bottom by 1+sinx, you get: 

cosx(1+sinx) / (1-sinx)(1+sinx) 

The denominator is a difference of squares, so you get 1-sin^2 x 

what you have now is 

cosx(1+sinx) / 1-sin^2x 

You know that 1-sin^2x is equal to cos^2x 

so know you have 

cosx(1+sinx) / cos^2x 

get rid of the cosx on top by simplifying and the cos^2x so that you're left with 

(1+sinx) / cos x 

Therefore cosx / 1- sinx = 1 + sinx / cos x</span>
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Eliza and Jamie are making cupcakes for a bake sale at school. Eliza need 2 1/3 c of flour for her recipe, and Jamie needs 1 3/4
Step2247 [10]
2 1/3 + 1 3/4 = 4 1/12
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5 0
3 years ago
How to solve y=-x+3 y=2x-1
svlad2 [7]

Solve for x: 2x - y = 3 x + y = 3?
? can someone explain this for me plz
8 Answers • Mathematics

Best Answer (Chosen by Voter)
Hi,

For this question, we are given the following system of equations:

2x - y = 3
x + y = 3

Let's make the first equation in the form of y = mx + b as shown below:

y = 2x - 3
x + y = 3

Now, substitute the first equation into the second to get:

x + 2x - 3 = 3

Combine similar terms to get:

3x = 6

x = 2

We now know that x = 2 and can plug this value into one of the given equations to get:

2 + y = 3

y = 1

FINAL ANSWER: x = 2 ; y = 1

I hope that helps you out!
7 0
3 years ago
Read 2 more answers
The 3 points form a horizontal line: (-3.5,4),(0,4), and (6.2,4). Name Two additional points that fall on this line.
Dmitrij [34]

Answer:

see the explanation

Step-by-step explanation:

we know that

The equation of a horizontal line is equal to the y-coordinate of the point that passes through it

so

In this problem, the line passes through the points

(-3.5,4),(0,4), and (6.2,4)

The y-coordinate is 4

The equation of the horizontal line is

y=4

therefore

Any point with the y-coordinate equal to 4, fall on this line

Example

(1,4) and (5,4)

8 0
3 years ago
What is the distance between the point (−10, −2) and the point (−4, −2) ?
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the answer is 6 units   (The answer is 6 units)
8 0
3 years ago
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3 years ago
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