Question

if 3sin A = 5cos A, then find the value of 6tanA .

Answer 1

3sin A = 5cos A
= sin A /cos A = 5/3
= tan A = 5/3
so, 6 tan A = 6×5/3 = 10

Answer 2

Solution :

Given that : 3 Sin A = 5 Cos A

Taking Cos A to other side

$\frac{3 Sin A}{Cos A} = 5$

We know that Sin A / Cos A = Tan A ,

3 Tan A = 5

Multiplying Both Sides by 2

2 * 3 Tan A = 2 * 5

6 Tan A = 10