Prove that \(cosec \ p - sin \ p\) \(=\) \(cot \ p \ cos \ p\).
 
Proof:
 
\(LHS =\) \(cosec \ p - sin \ p\) 
 
\(=\)
 
\(=\)
 
\(=\)
 
\(=\)
 
\(=\) \(cot \ p \ cos \ p\)
 
\(= RHS\)
 
Hence, we proved.
Answer variants:
1sin2psinp
1sinpsinp
cospsinp×cosp
cos2psinp