Question

if tan x is equals to sin 45 degree cos 45 degree + sin 30 degree then find the value of x​

Answer 1

Tan x = sin 45° X cos 45° + sin 30°

tan x = 1/√2 X 1/√2 + 1/2

tan x = 1/2 + 1/2

tan x = 1                                     → A

But,

tan 45° = 1                                  → B

From A & B, R.H.S. is equal,

∴ tan x = tan 45°

⇒      x = 45°