Question

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

Answer 1

Answer:

cot x

Step-by-step explanation:

using the identities

csc x = $\frac{1}{sinx}$

sin($\frac{\pi }{2}$ - x) = cos x

then

csc x × sin ($\frac{\pi }{2}$ - x)

= $\frac{1}{sinx}$ × cosx

= $\frac{cosx}{sinx}$

= cot x