question iii) prove it with solution
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Verified answer
We know that (a+b)^2 = a^2+b^2+2ab.(a - b)^2 = a^2+b^2-2ab.
Given LHS = (1 + tanA)^2 + (1 - tanA)^2.
= 1 + tan^2A + 2tanA + 1 + tan^2A - 2tanA
= 2 + 2tan^2A
= 2(1 + tan^2A)
= 2(sec^2A)
= 2 sec^2A.
LHS = RHS.
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The answer is in the attachment
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