Find the exact value of cos frac{5 pi}{6}.

Question

Accepted Answer

Step:1 ：Find the reference angle for (frac{5 pi}{6}) by subtracting (frac{pi}{2}) from (frac{5 pi}{6}):Step:2 ：(text{reference angle} = frac{5pi}{6} - frac{pi}{2} = frac{pi}{3})Step:3 ：Find the cosine of the reference angle (frac{pi}{3}):Step:4 ：(cos frac{pi}{3} = frac{1}{2})Step:5 ：Since (frac{5 pi}{6}) is in the second quadrant, the cosine will be negative:Step:6 ：(boxed{-frac{1}{2}})

Answer

Step: 1 ：Find the reference angle for (frac{5 pi}{6}) by subtracting (frac{pi}{2}) from (frac{5 pi}{6}):Step: 2 ：(text{reference angle} = frac{5pi}{6} - frac{pi}{2} = frac{pi}{3})Step: 3 ：Find the cosine of the reference angle (frac{pi}{3}):Step: 4 ：(cos frac{pi}{3} = frac{1}{2})Step: 5 ：Since (frac{5 pi}{6}) is in the second quadrant, the cosine will be negative:Step: 6 ：(boxed{-frac{1}{2}})

Find the exact value of $\cos \frac{5 π}{6}$ .

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Find the exact value of cos⁡5π6.

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Find the exact value of $\cos \frac{5 π}{6}$ .