SOLUTION: prove that 1 - tan^2x = (1 - 2sin^2x)(1+tan^2x)

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Question 32499: prove that 1 - tan^2x = (1 - 2sin^2x)(1+tan^2x)
Answer by Fermat(127) About Me  (Show Source):
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1 - tan^2x
1 - (sin^2x/cos^2x)
(cos^2x - sin^2x)/cos^2x
(1-2sin^2x)sec^2x
(1-2sin^2x)(1+tan^2x)