If tan A = 3/4, find sin A.
Show answer & explanation
Correct answer: A
Explanation
Given:
tan A = 3/4
By the formula:
tan A = perpendicular / base
sin A = perpendicular / hypotenuse
Let perpendicular = 3k, base = 4k
Hypotenuse = √( (3k)² + (4k)² )
= √(9k² + 16k²)
= √(25k²)
= 5k
sin A = perpendicular / hypotenuse
= 3k / 5k
= 3/5