A right-angled triangle has hypotenuse 13 cm

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

Problem

A right-angled triangle has hypotenuse 13 cm. For one of its acute angles

\theta

\sin\theta = \dfrac{5}{13}

. (i) Find the length of the side opposite to angle

\theta

. (ii) Determine the length of the side adjacent to angle

\theta

. (iii) Calculate the value of

\tan\theta