SOLUTION: Suppose sin(x) = 1/2 and tan(x) < 0. Find sin(x - 5𝜋/6) and cos(x + 5𝜋/3).

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Question 1198271: Suppose sin(x) = 1/2 and tan(x) < 0.
Find sin(x - 5𝜋/6) and cos(x + 5𝜋/3).

Answer by ikleyn(52787) About Me  (Show Source):
You can put this solution on YOUR website!
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Suppose sin(x) = 1/2 and tan(x) < 0.
Find sin(x - 5𝜋/6) and cos(x + 5𝜋/3).
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Then x = %285pi%29%2F6.


Therefore,  sin%28x+-+5pi%2F6%29 = sin%280%29 = 0;

            cos%28x+%2B+5pi%2F3%29 = cos%28%285pi%29%2F6+%2B+%2810pi%29%2F6%29 = cos%2815pi%2F6%29 = cos%285pi%2F2%29 = 0.

Solved.