SOLUTION: How do you prove that sin^2 theta equals (sec^2 theta)(cos^2 theta) minus 1/sec^2theta is an identity

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Question 1080511: How do you prove that sin^2 theta equals (sec^2 theta)(cos^2 theta) minus 1/sec^2theta is an identity
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!


start withe right side and get to left side:
%28sec%5E2+%28theta%29%29%28cos%5E2+%28theta%29%29+-1%2Fsec%5E2%28theta%29

since sec%5E2%28theta%29+=+%281%2F%28cos%5E2%28theta%29%29%29, we have





1+-cos%5E2%28theta%29

+sin%5E2+%28theta%29