Suppose that theta is an acute angle of a right triangle and

Suppose that theta is an acute angle of a right triangle and tan (theta) = 4 Squareroot 2/7. Find sin(theta) and cos(theta).

Solution

given tan =(42)/₇

tan =oppositeside/adjacent side =(42)/₇

oppositeside=42 ,adjacent side=7

hypotenuse²=opposite side²+adjacent side²

hypotenuse²=(42)²+7²

hypotenuse²=81

hypotenuse=9

sin =oppositeside/hypotenuse=(42)/₉

cos =adjacentside/hypotenuse=7/₉