Mathematics

Problem

In a right triangle, an acute angle

\theta

satisfies

\sin \theta = \dfrac{3}{5}

. Use this information to answer the following. a. (i) Find

\cos \theta

. b. (ii) Hence calculate

\tan \theta

. c. (iii) Determine the value of

\dfrac{\sin^2 \theta - \cos^2 \theta}{\sin \theta \cos \theta}