In a triangular park

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

Problem

PQR

, right-angled at

Q

, the sides

PQ

and

QR

are

9\text{ m}

and

6\text{ m}

respectively. (i) Calculate the length of the side

PR

. (ii) Taking

\angle PRQ = \beta

, determine the exact values (in simplest surd form where necessary) of all six trigonometric ratios of

\beta

. (iii) Evaluate

\dfrac{\sin \beta}{\cos \beta}

and interpret the result with reference to your answers in part (ii).