If 3 tanA = 4, then find sin A and cos A.

Given that, 3 tan A = 4

⇒

But

⇒

⇒ perpendicular = 4 and base = 3

So, using Pythagoras theorem, we can say

(hypotenuse)² = (perpendicular)² + (base)²

⇒ (hypotenuse)² = (4)² + (3)²

⇒ (hypotenuse)² = 16 + 9 = 25

⇒ hypotenuse = √25 = 5

Using perpendicular = 4, base = 3 and hypotenuse = 5, we can find out sin A and cos A.

Sin A is given by

⇒

And, cos A is given by

⇒

Thus, and .