Question

Complete the steps to derive the cofunction identity.

Answer 1

See below

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

Once

`\sin \left((\pi)/(2)\right) = 1`

`\cos\left((\pi)/(2)\right) = 0`

`\sin \left((\pi)/(2) - x\right) =1 \cdot \cos(x) -0\cdot \sin(x)`

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

Answer 2

sin, cos, 1, 0, cos

Explanation:

answer on edge