Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

rewrite cos 23.7° in terms of its cofunction. cos 23.7° = (type an exac…

Question

rewrite cos 23.7° in terms of its cofunction. cos 23.7° = (type an exact answer. simplify your answer. type any angle measures in degrees. do not include the degree symbol in your answer.)

Explanation:

Step1: Recall cofunction identity

The cofunction identity for cosine and sine is $\cos\theta = \sin(90 - \theta)$.

Step2: Apply the identity

For $\theta = 23.7$, we substitute into the identity: $\cos(23.7)=\sin(90 - 23.7)$.

Step3: Calculate the angle

Calculate $90 - 23.7 = 66.3$. So $\cos(23.7)=\sin(66.3)$.

Answer:

$\sin(66.3)$