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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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Answer:

2 m

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First we write out the formula for the area of a trapezoid:

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A = --------------- * w, where w represents the width of the figure.

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We need to solve this for the width, w.  Multiplying both sides of the above equation by

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4 0
2 years ago
A motorboat takes 5 hours to travel 200 miles going upstream. The return trip takes 4 hours going downstream. What is the rate o
dsp73

Answer:

rate of motorboat: b

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So the rate the boat travels upstream is $b - c$, and the rate it travels downstream is $b + c$

Step-by-step explanation:

d = rt

200 = (b - c)\cdot 5

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Hope this helps :)

4 0
3 years ago
7. The scale on a map of Florida is 1 ⅛ inches to 25 miles. The distance on the map from Gainesville to Ocala is 1 ⅝ inches. Bas
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Step-by-step explanation:

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2 years ago
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hope this helps :)
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2 years ago
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