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(1+tan A)^2+ (1-tan A )^2 =2 sec^2A
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Answer:
(1+tanA)²+(1-tanA)²=2sec²A
1+2tanA+tan²A+1-2tan+tan²A=2sec²A
1+1+tan²A+tan²+2tanA-2tanA=2sec²A
2+2tan²A=2sec²A
2(1+tan²A)=2sec²A
2sec²A=2sec²A
LHS=RHS
Hence proved
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