Let be an acute angle such that .

MATHEMATICS · Multi-part · GCSE · Mathematics · Geometry and Measures · Geometry and Measures

Problem

Let

A

be an acute angle such that

\tan A = \dfrac{5}{12}

. (i) Find the exact values of

\sin A

and

\cos A

. (ii) Hence evaluate

E=\frac{\sin A\,\sec(90^{\circ}-A)}{\cos A\,\csc(90^{\circ}-A)}.