(1 - tan A) to power 2 + (1 + tan A) to power 2 = 2 sec square A
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Answer:
(1-tanA)^2+(1+tanA)^2
2(tan^2+a)
2secA^2
Step-by-step explanation:
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lhs
{1-tanA}^2+{1+tanA}^2
1+ tan^2A - 2tanA + 1 + tan^2A+ 2tanA
1 + tan^2A + 1 + tan^2A + 2tanA - 2tanA
2{1 + tan^2 A}
2 sec^2 A.
{because 1 + tan^2A= sec^2A}
LHS = RHS
SO PROVED
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