SOLUTION: Could someone please help me prove this identity. 1 + tan(squared)x/tan x= 2csc2x I have tried it a number of times and am not having any luck. Thank you.

Algebra ->  Trigonometry-basics -> SOLUTION: Could someone please help me prove this identity. 1 + tan(squared)x/tan x= 2csc2x I have tried it a number of times and am not having any luck. Thank you.      Log On


   

Question 131789: Could someone please help me prove this identity.
1 + tan(squared)x/tan x= 2csc2x
I have tried it a number of times and am not having any luck.
Thank you.
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Double angle formula: sin%282x%29=2cos%28x%29sin%28x%29, so cos%28x%29sin%28x%29=sin%282x%29%2F2

1%2F%28cos%28x%29sin%28x%29%29=1%2F%28sin%282x%29%2F2%29=2%2Fsin%282x%29

csc%28x%29=1%2Fsin%28x%29, so:

2%2Fsin%282x%29=2csc2x