Bihar Police Constable Model Paper 7

Given:
tan x = 3/2
Formula:
tan x = sin x/cos x
Calculation:
(3 sin x + 2 cos x)/(3 sin x - 2 cos x)
Divide cos x
⇒ (3 tan x + 2)/(3 tan x - 2)
⇒ (3 × 3/2 + 2)/(3 × 3/2 - 2)
⇒ (4.5 + 2)/(4.5 - 2)
⇒ 6.5/2.5
⇒ 13/5