Multiple Choice
Given the polar equation , which of the following best describes the shape of its graph on the unit circle?
3. Unit Circle
Trigonometric Functions on the Unit Circle
Multiple Choice
What is the exact value of ?
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Verified step by step guidance1
Recall that the tangent function has a period of 180°, so \( \tan(300^\circ) = \tan(300^\circ - 180^\circ) = \tan(120^\circ) \).
Identify the reference angle for 120°, which is \( 180^\circ - 120^\circ = 60^\circ \).
Determine the sign of \( \tan(120^\circ) \) by considering the quadrant: 120° lies in the second quadrant where tangent is negative.
Use the known exact value \( \tan(60^\circ) = \sqrt{3} \).
Combine the sign and reference angle value to write \( \tan(300^\circ) = -\sqrt{3} \).
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