Question

1. $cos \theta$

a. $\frac{2\sqrt{3}}{3}$
b. $\frac{\sqrt{3}}{2}$
c. $-\frac{\sqrt{3}}{2}$
d. $\frac{-2\sqrt{3}}{3}$

find the reference angle, sine, cosine, and tangent for $\theta = 330^{\circ}$. choose the correct answer.
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Explanation:

Step1: Find reference angle

$360^\circ - 330^\circ = 30^\circ$

Step2: Identify quadrant of $\theta$

$330^\circ$ is in Quadrant IV, where cosine is positive.

Step3: Evaluate $\cos 330^\circ$

$\cos 330^\circ = \cos 30^\circ = \frac{\sqrt{3}}{2}$

Answer:

B. $\frac{\sqrt{3}}{2}$