SOLUTION: prove the identity tanx/secx+1 = secx-1/tanx

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Question 1147369: prove the identity
tanx/secx+1 = secx-1/tanx
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

tan%28x%29%2F%28sec%28x%29%2B1+%29=+%28sec%28x%29-1%29%2Ftan%28x%29....cross multiply
tan%5E2%28x%29=+%28sec%28x%29-1%29%28sec%28x%29%2B1+%29
tan%5E2%28x%29=+sec%5E2%28x%29-1
tan%5E2%28x%29=+1%2Fcos%5E2%28x%29-1
tan%5E2%28x%29=+%281-cos%5E2%28x%29%29%2Fcos%5E2%28x%29
tan%5E2%28x%29=+sin%5E2%28x%29%2Fcos%5E2%28x%29
tan%5E2%28x%29=+tan%5E2%28x%29