Multiple Choice
Given the polar equation , which of the following best describes the shape of its graph on the unit circle?
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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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