1+tan£/1-tan£+1-tan£/1+tan£
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Step-by-step explanation:
1+tanA/1-tanA+1-tanA/1+tanA
=(1+tanA)²+(1-tanA)²/1-tan²A
=1+2tanA+tan²A+1-2tanA+tan²A/1-tan²A
=2(1+tan²A)/1-tan²A
=2(cos²A+sin²A/cos²A)/(cos²A-sin²A/cos²A)
=(2/cos²A)/(cos²A-sin²A/cos²A)
=2/cos²A-sin²A
=2/cos2A
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