Question

Find the value of x in each of the following:
tanx=sin45°cos45°+sin30°

Answer 1

Answer:

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°