Question

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

Answer 1

tan x = sin45° cos45° + sin30°

⇒ tan x = `(1)/sqrt(2) xx (1)/sqrt(2) + (1)/sqrt(2)`

⇒ tan x = `(1)/(2) + (1)/(2)`
⇒ tan x = 1
⇒ tan x = tan 45°
⇒ x = 45°.