## A Simple Trig Challenge

This is a fun and simple trigonometry challenge.

No calculators allowed!

Which of the following is the largest?

(a)  $\frac{\sqrt{3}}{2}$                           (b)  $sin (\frac{7\pi}{12})$

(c)  $sin (\frac{7\pi}{16})$                  (d)  $cos (\frac{\pi}{10})$

There are a couple of nice ways to solve this without using a calculator, and plenty of good ways to extend this question.

The real challenge is to come up with your own version of this problem!