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Complete the steps to derive the cofunction identity.

Complete the steps to derive the cofunction identity.-example-1
User Patloew
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2 Answers

2 votes

Answer:

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)

User Amol Wadekar
by
7.7k points
1 vote

Answer:

sin, cos, 1, 0, cos

Explanation:

answer on edge

User Caleb Fenton
by
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