How do you simplify the expression cot2x+1?
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+cos2xsin2x⇒1+cot2x=cos2x+sin2xsin2x⇒1+cot2x=1sin2x...[sin2x+cos2x=1]⇒1+cot2x=cosec2x
Hence, the required answer is 1+cot2x=cosec2x.