Question

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

Answer 1

`\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`