If tan x = sin 90° cos 60° + sin 30°, then the value of 'x' is

Correct option is C

Given:

tan x = sin 90° × cos 60° + sin 30°

Formula Used:
Use standard trigonometric identities and values:

• sin 90° = 1

• cos 60° = 1/2

• sin 30° = 1/2

Solution:
tan x = (1 × 1/2) + 1/2
= 1/2 + 1/2
= 1

Now, we know:
tan x = 1 => x = 45° (in the principal domain)

Final Answer:
45°