SOLUTION: Verify the identity. (cot^2 x) / (cosec x + 1) = (1

SOLUTION: Verify the identity. (cot^2 x) / (cosec x + 1) = (1 - sin x) / sin x

Question 1106777: Verify the identity.
(cot^2 x) / (cosec x + 1) = (1 - sin x) / sin x

Answer by greenestamps(13208) (Show Source): You can put this solution on YOUR website!

Work on the left hand side to make it look like the right hand side.

Change everything to sin(x) and cos(x):

get common denominator in the denominator

divide fractions: "flip and multiply"

simplify

use Pythgorean identity to get everything in terms of sin(x)

factor

cancel common factor

DONE! The left hand side is now the same as the right hand side.
RELATED QUESTIONS
verify the identity 1.sin x sec x 2. cos x csc x =cot... (answered by stanbon)

Verify following is an identity. (1++sin(x))/sin(x)=(cot^2(x))/(csc(x)-1) (answered by lwsshak3)

(csc^2 x-1)sin x = cot x cos x verify the identity (answered by Alan3354)

verify the identity sin x/1-cot x- cos x/tan x-1 = sin x + cos... (answered by vleith)

Verify the identity: (cos x-sin... (answered by robertb)

Prove the identity: 3sinx-cos2x-1/sin�x+2sinx = 2-cosec... (answered by josgarithmetic)

2 sin x - cosec x =... (answered by Alan3354)

verify the identity... (answered by Edwin McCravy)

please help me verify the following identity verify the identity: csc x [csc x... (answered by stanbon)