Evaluate the following without using a calculator

MATHEMATICS · Subjective · CBSE · Mathematics · Introduction to Trigonometry · Introduction to Trigonometry

Problem

Evaluate the following without using a calculator. Write all intermediate steps clearly. (a)

\sin 30^{\circ}+\cos \dfrac{\pi}{3}

(b)

\tan 225^{\circ}-\tan \dfrac{5\pi}{4}

(c)

\sin\left(120^{\circ}-\dfrac{2\pi}{3}\right)

For each part, first express all angles in a single unit before carrying out the required trigonometric calculation.

Related theory

Browse the problem library