In right triangle ABC, ( B = 90^ )

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

Problem

In right triangle ABC,

\angle B = 90^\circ

. The lengths of the sides are

AB = 6\,\text{cm}

BC = 8\,\text{cm}

and

AC = 10\,\text{cm}

. Let

\theta = \angle A

. (i) Find

\sin \theta

\cos \theta

and

\tan \theta

. (ii) Verify that

\dfrac{\sin \theta}{\cos \theta}=\tan \theta

. Briefly explain what this equality tells you about the three basic trigonometric ratios for an acute angle of a right triangle.