Question

csc7pi÷3

Answer 1

Hints:

1. \(\dfrac{7\pi}{3} = \dfrac{6\pi}{3}+\dfrac{\pi}{3} = 2\pi + \dfrac{\pi}{3}\).
2. \(\csc x \) is \(2\pi\)-periodic, meaning that \(\csc (x+2\pi) = \csc x\).
3. \(\csc x = \dfrac{1}{\sin x}\).

With these three things in mind, do you think you can find the value of \(\csc\dfrac{7\pi}{3}\)? :-)