Question

(1+cot²theta)(1+cos theta)(1-cos theta)=1​

Answer 1

Answer:

(1+cot²θ)(1-cosθ)(1+cosθ)=1--------Equation 1

(1+cosθ)(1-cosθ) is of the form (a+b)(a-b)=a²-b²

(1+cosθ)(1-cosθ)=1-cos²θ

But 1-cos²θ=sin²θ  

So equation 1 changes to

=(1 + cot²θ )(sin²θ)

=sin²θ+cot²θsin²θ

=sin²θ+(cos²θ*sin²θ/sin²θ)

=sin²θ+cos²θ

=1

Step-by-step explanation: