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(1-tanA)^2=1+tan^2A-2tanA
(1+tanA)^2=1+tan^2+2tanA
add both
2+2tan^2=2(1+tan^2A)=2sec^2A
hence prove
(1+tanA)^2=1+tan^2+2tanA
add both
2+2tan^2=2(1+tan^2A)=2sec^2A
hence prove
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