Question

which expression is equivalent to sin(34°)?
a. cot(34°)
b. tan(34°)
c. cos(56°)
d. tan(56°)

Explanation:

Step1: Recall co - function identity

In a right - triangle, $\sin\theta=\cos(90^{\circ}-\theta)$.

Step2: Calculate the complementary angle

Given $\theta = 34^{\circ}$, then $90^{\circ}-\theta=90^{\circ}-34^{\circ}=56^{\circ}$. So, $\sin(34^{\circ})=\cos(56^{\circ})$.

Answer:

C. $\cos(56^{\circ})$