In , right-angled at , angle is acute and . The side is 9 cm…

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

Problem

\triangle ABC

, right-angled at

B

, angle

A

is acute and

\tan A = \dfrac{3}{4}

. The side

BC

is 9 cm long. (i) Find the lengths of

AB

and

AC

. (ii) Using the results of part (i), calculate

\sin A

and

\cos A

. (iii) Verify that

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

with the values obtained.