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Using the unit circle, the exact value of tan 300° = ?Using the unit circle, the exact value of sin 120° = ?
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Feb 25,2025
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The Deep Dive
Angle 300° is located in the fourth quadrant of the unit circle, where the tangent function is negative. The reference angle for 300° is 60°, so tan 300° = -tan 60° = -√3. Therefore, the exact value of tan 300° is -√3. On the other hand, 120° is situated in the second quadrant where the sine function is positive. The reference angle for 120° is 60°, so sin 120° = sin 60° = √3/2. Hence, the exact value of sin 120° is √3/2.