SOLUTION: How do you prove the identity by choosing one side to solve: cot^2(x)+sec^2(x)=tan^2(x)+csc^2(x)?

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Question 924109: How do you prove the identity by choosing one side to solve: cot^2(x)+sec^2(x)=tan^2(x)+csc^2(x)?
Answer by MathTherapy(10551) About Me  (Show Source):
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How do you prove the identity by choosing one side to solve: cot^2(x)+sec^2(x)=tan^2(x)+csc^2(x)?
cot2 x + sec2 x = tan2 x + csc2 x

Left-side:
cot%5E2+%28x%29+%2B+sec%5E2+%28x%29

cot%5E2+%28x%29+%2B+tan%5E2+%28x%29+%2B+1 ------ sec%5E2+%28x%29+=+tan%5E2+%28x%29+%2B+1

tan%5E2+%28x%29+%2B+cot%5E2+%28x%29+%2B+1 ------ Rearranging

tan%5E2+%28x%29+%2B+cot%5E2+%28x%29+%2B+1

tan%5E2+%28x%29+%2B+csc%5E2+%28x%29 ---------- cot%5E2+%28x%29+%2B+1+=+csc%5E2+%28x%29

Thus, the LEFT SIDE is PROVEN as being equal to RIGHT-SIDE