Given f(x) = 2 sin x, find the exact value of f (7pi/6) in simplest form with a rational denominator.

asked May 14, 2022 216k views

25 votes

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14 votes

Answer:

$\bold{f(\frac{7\pi}6)=-1}$

Explanation:

$f(\frac{7\pi}6)=2\sin(\frac{7\pi}6)=2\sin(\frac{7\pi}6)=2\sin(\pi+\frac{\pi}6)=-2\sin(\frac{\pi}6)=-2\cdot\frac12=-1$

Strigger answered May 19, 2022

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