Question

Prove that LHS=RHS
Please help me with this problem​

Answer 1

Answer:

we already know that(a+b)²+(a-b)²=2(a²+b²)

so(1+cot theta)²+(1-cot theta)²=2cosec² theta

we know that cosec² theta =1+cot² theta

then, (1+cot theta)²+(1-cot theta)²=1+cot² theta

so the answer is =2cosec² theta

hence proved