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Question

State true or false.
(tanx+cotx)2=sec2x+cosec2x

A
True
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B
False
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Solution

The correct option is A True
(tanx+cotx)2=tan2x+cot2x+2tanxcotx
=tan2x+cot2x+2
=sec2x1+cosec2x1+2
=sec2x+cosec2x2+2
=sec2x+cosec2x
Hence the given statement is true.

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