TRIG IDENTITIES QUESTION PROVE

Question

(1-cos^2x)(1+1/tan^2x)=1 PLEASE HELP ASAP? 

Answer 1

 (1 - Cos^2x)(1 + 1/tan^2x) = 1

From pythagorean identities 1 + Cot^2x = Csc^2x

Sin^2x = 1 - Cos^2x

Left hand side identity = (1 - Cos^2x)(1 + 1/Tan^2x)

= Sin^2x(1 + Cot^2x)

= Sin^2x(Csc^2x)

Reciprocal of Sinx is Cscx.

= Sin^2x(1/Sin^2x)

= 1

Right hand side identity.