SOLUTION: prove the identity sec^2(x)=1/(1-sin^2(x))

SOLUTION: prove the identity sec^2(x)=1/(1-sin^2(x))

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Question 294541: prove the identity sec^2(x)=1/(1-sin^2(x))
Answer by chibisan(131) (Show Source): You can put this solution on YOUR website!
sec^2(x)=1/(1-sin^2(x))
on R.H.S
1-sin^2(x) = cos^2(x)
and 1/cos(x) = sec(x)
so,
1/(cos^2(x))
= (1/cos(x))(1/cos(x))
= sec^2(x)(proven)
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