Mathematics

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

. a. (i) Find

\sin \theta

\cos \theta

and

\tan \theta

. b. (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.