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Question
Prove the following identity :
`(1 - tanA)^2 + (1 + tanA)^2 = 2sec^2A`
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Solution
LHS = `(1 - tanA)^2 + (1 + tanA)^2`
= `1 + tan^2A - 2tanA + 1 + tan^2A + 2tanA`
= `2(1 + tan^2A) = 2sec^2A` = RHS
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