Verify the identity

Question

A.) sec θ−cos θ/sec θ = sin²θ

B.) csc x − sin x = cos x cot x

Answer 1

A.) is there a typo here ? should secx be 1 ??

 

 

B.)   cscx-sinx=cosxcotx

       (1/sinx)-(sinx)=

       (1/sinx)-(sin²x/sinx)=

       (1-sin²x)/(sinx)=

       (cos²x)/(sinx)=

       (cosx)(cosx)/(sinx)=

       (cosx)(cosx/sinx)=

       (cosx)(cotx)