In a right-angled triangle

MATHEMATICS · Multi-part · CBSE · Mathematics · Introduction to Trigonometry · Introduction to Trigonometry

Problem

In a right-angled triangle, the lengths of the sides are 9 cm, 12 cm and 15 cm. (a) For the acute angle

\theta

opposite the side of length 9 cm, find

\sin \theta

\cos \theta

and

\tan \theta

. (b) Using the values obtained in part (i), verify that

\sin^2 \theta + \cos^2 \theta = 1