Question

Complete the steps to derive the cofunction identity.

Answer 1

Answer:

See below

Step-by-step explanation:

In order to derivate the cofunction identity, we will use the difference identity for sine.

$\boxed{\sin(\alpha-\beta ) =\sin(\alpha )\cos(\beta ) - \cos(\alpha )\sin(\beta ) }$

$\sin \left(\dfrac{\pi}{2} - x\right) =\sin \left(\dfrac{\pi}{2}\right)\cos(x) -\cos\left(\dfrac{\pi}{2}\right) \sin(x)$

Once

$\sin \left(\dfrac{\pi}{2}\right) = 1$

$\cos\left(\dfrac{\pi}{2}\right) = 0$

$\sin \left(\dfrac{\pi}{2} - x\right) =1 \cdot \cos(x) -0\cdot \sin(x)$

$\sin \left(\dfrac{\pi}{2} - x\right) = \cos(x)$

Answer 2

Answer:

sin, cos, 1, 0, cos

Step-by-step explanation:

answer on edge