SOLUTION: Cot x + tan x = 2 csc2x Prove the following is an identity. Having a difficult time fitting the left side to equal the right. I know that cot x= cos x/ sin x and tan x = sin x /

Algebra ->  Trigonometry-basics -> SOLUTION: Cot x + tan x = 2 csc2x Prove the following is an identity. Having a difficult time fitting the left side to equal the right. I know that cot x= cos x/ sin x and tan x = sin x /      Log On


   

Question 682406: Cot x + tan x = 2 csc2x
Prove the following is an identity.
Having a difficult time fitting the left side to equal the right.
I know that cot x= cos x/ sin x and tan x = sin x / cos x
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Cot x + tan x = 2 csc2x
Prove the following is an identity.
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start with left side:
Cot x + tan x=cosx/sinx+sinx/cosx=(cos^2x+sin^2x)/sinx cosx
=1/sinx cosx=2/2sinx cosx=2/sin(2x)=2csc(2x)
verified:
left side=right side