Question

write the function in terms of its cofunction.
cos 33°
select the correct choice and fill in the answer box to complete your choice.
(simplify your answer. type your answer in degrees.)
a. cos 33° = cot □°
b. cos 33° = sec □°
c. cos 33° = csc □°
d. cos 33° = tan □°
e. cos 33° = sin □°

Explanation:

Step1: Recall cofunction identity

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

Step2: Apply the identity to $\cos 33^{\circ}$

Substitute $\theta = 33^{\circ}$ into the identity: $\cos 33^{\circ}=\sin(90^{\circ} - 33^{\circ})$.

Step3: Calculate the angle

Calculate $90^{\circ}-33^{\circ}=57^{\circ}$. So $\cos 33^{\circ}=\sin 57^{\circ}$.

Answer:

E. $\boldsymbol{\cos 33^{\circ} = \sin 57^{\circ}}$