Question

Prove cot(x)sec(x)sin(x)=1

Answer 1

Hey !

To prove : cot(x)sec(x)sin(x)=1

Used Identities :

Cot(x) = 1/[tan(x)] = 1/[sin(x)/cos(x)] = cos(x)/sin(x)

sec(x) = 1/cos(x)

Proof:

Consider LHS

cot(x)sec(x)sin(x)

=> cos(x)/sin(x) × 1/cos(x) × sin(x)

=> 1

= RHS

Hence Proved.