SOLUTION: Prove the following trig identity: tan x *sin^2 x + sin x*cos x = tan x

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Question 1103325: Prove the following trig identity: tan x *sin^2 x + sin x*cos x = tan x
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


Prove: tan%28x%29%2Asin%28x%29%5E2+%2B+sin%28x%29%2Acos%28x%29+=+tan%28x%29

The right side of the identity is tan(x).

So a good strategy for proving the identity would be to rewrite the left hand side as tan(x) times some expression that is equal to 1.

One term on the left already has a factor of tan(x); rewrite the other term on the left with a factor of tan(x):



And now the identity is