Question

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

Answer 1

Answer:

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

Step-by-step explanation:

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