Question

Which of the following shows the simplified function of csc x sin(pi/2 -x)?

Answer 1

cot x

Explanation:

using the identities

csc x =
`(1)/(sinx)`

sin(
`(\pi )/(2)` - x) = cos x

then

csc x × sin (
`(\pi )/(2)` - x)

=
`(1)/(sinx)` × cosx

=
`(cosx)/(sinx)`

= cot x