In ( LMN ), right-angled at (M ), the side (LM ) measures (7 , cm ) and ( L = 2 3 . )…

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

Problem

\triangle LMN

, right-angled at

M

, the side

LM

measures

7\,\text{cm}

and

\tan L = \dfrac{2}{3}.

Answer the following. (i) Determine the lengths of sides

MN

and

LN

. (ii) Calculate

\sin L

and

\cos L

. (iii) Show that

\sin^{2} L + \cos^{2} L = 1

using the values obtained in part (ii).