Select the correct answer.What is the corresponding point on the unit circle for the given radian measure?𝜃 = 5𝜋6 A. (-12,32) B. (32,-12) C. (12,-32) D. (-32,12)
Question
Select the correct answer.What is the corresponding point on the unit circle for the given radian measure?𝜃 = 5𝜋6 A. (-12,32) B. (32,-12) C. (12,-32) D. (-32,12)
Solution
The given radian measure is 𝜃 = 5𝜋/6.
The coordinates of a point on the unit circle can be found using the formulas x = cos(𝜃) and y = sin(𝜃).
First, calculate the cosine of 𝜃: cos(5𝜋/6) = -√3/2
Then, calculate the sine of 𝜃: sin(5𝜋/6) = 1/2
So, the coordinates of the point on the unit circle corresponding to the given radian measure are (-√3/2, 1/2).
None of the given options A, B, C, or D match these coordinates. There may be a mistake in the question or the answer choices.
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