Multiple Choice
What is the exact value of ?
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3. Unit Circle
Common Values of Sine, Cosine, & Tangent
Multiple Choice
Using common special-angle values, what is ?
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Verified step by step guidance1
Recall the special angles commonly used in trigonometry: 0°, 30°, 45°, 60°, and 90°, and their corresponding sine values.
Remember that the sine of an angle in a right triangle is defined as the ratio of the length of the side opposite the angle to the hypotenuse.
For 30°, the special right triangle to consider is the 30°-60°-90° triangle, where the sides are in the ratio 1 : \(\sqrt{3}\) : 2.
Identify the side opposite the 30° angle, which is the shortest side with length 1, and the hypotenuse, which has length 2.
Write the sine of 30° as the ratio of the opposite side to the hypotenuse: \(\sin(30^\circ) = \frac{1}{2}\).
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