Question

If tan x = sin 45° cos 45° + sin 30°, then x is equal to ______.

Options

• 30°

• 45°

• 60°

• 15°

Answer 1

If tan x = sin 45° cos 45° + sin 30°, then x is equal to 45°.

Explanation:

We have, tan x = sin 45° cos 45° + sin 30°

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

`\implies` tan x = `1/2 + 1/2` = 1

`\implies` x = 45°