(tana+cota)^2-(tana-cota)^2=4
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Answer:
Given tan A+cot A=2
Squaring on both sides we get,
tan
2
A+cot
2
A+2tanAcotA=4
tan
2
A+cot
2
A+2=4
tan
2
A+cot
2
A=2
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