SOLUTION: prove that tan x (cot x + tan x ) = sec^2 x

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Question 207429: prove that tan x (cot x + tan x ) = sec^2 x
Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
Tan%28x%29+%28Cot%28x%29+%2B+Tan%28x%29+%29+=+Sec%5E2x

Distribute to remove the parentheses:
Tan%28x%29Cot%28x%29+%2B+Tan%5E2x++=+Sec%5E2x
Replace Cot%28x%29 by 1%2FTan%28x%29
+Tan%28x%29+%281%2FTan%28x%29%29+%2B+Tan%5E2x++=+Sec%5E2x
cross%28Tan%28x%29%29+%281%2Fcross%28Tan%28x%29%29%29+%2B+Tan%5E2x++=+Sec%5E2x
1%2BTan%5E2x=+Sec%5E2x
Sec%5E2x=Sec%5E2x
Edwin