Question

How to do this problem

Answer 1

 solution

cosec²∅(1+cos∅)(1-cos∅)=x

 to find the value of x

cosec²∅(1-cos∅+cos∅-cos²∅)=x

cosec²∅(1-cos²∅)=x

⇒cosec²∅(sin²∅)=x

hence cos²∅+sin²∅=1   ⇒sin²∅=1-cos²∅

⇒x=sin²∅/sin²∅

 hence  cosec²∅=1/sin²∅

⇒x=1