Mathematics

Problem

A student notes the equality

\dfrac{1-\cos\theta}{\sin\theta}=\dfrac{\sin\theta}{1+\cos\theta}

. (a) Using the standard trigonometric table values, calculate each side separately for

\theta=30^\circ

correct to four decimal places and verify that the equality holds. (b) Repeat the verification for

\theta=60^\circ

using the same accuracy. Show your working clearly in each case.