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Question

How do you simplify the expression cot2x+1?


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Solution

Simplify the given expression using the trigonometric identities.

We have to simplify the expression cot2x+1.

Expressing the given expression in terms of sinand cos.

1+cot2x=sin2xsin2x+cos2xsin2x1+cot2x=cos2x+sin2xsin2x1+cot2x=1sin2x...[sin2x+cos2x=1]1+cot2x=cosec2x

Hence, the required answer is 1+cot2x=cosec2x.


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