Which of the following shows the simplified form of sin x/1-cos x ? a. 1 b. sin x + tan x c. sin x + cot x d. csc x + cot x

asked Jun 8, 2024 28.5k views

3 votes

Which of the following shows the simplified form of sin x/1-cos x ?

a. 1
b. sin x + tan x
c. sin x + cot x
d. csc x + cot x

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3 votes

Answer:

d.
$\csc x +\cot x$

Explanation:

$(\sin x)/(1-\cos x)=(\sin x(1+\cos x))/(1-\cos^2 x)=(\sin x(1+\cos x))/(\sin^2 x)=(1+\cos x)/(\sin x)=\csc x+\cot x$

Cwschmidt answered Jun 13, 2024

7.9k points

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