Question

If tan 3x = sin 45° cos 45° + sin 30°, then find value of x.​

Answer 1

GIVEN :

• tan 3x = sin 45° cos 45° + sin 30°, then find value of x.

TO FIND :

• Value of x = ?

SOLUTION :

⇛tan 3x = sin 45° cos 45° + sin 30°

⇛tan 3x = 1/√2 × 1/√2 + 1/2

⇛tan 3x = 1/2 + 1/2

⇛tan 3x = tan 45°

⇛3x = 45°

⇛x = 15°

Therefore, the value of x is 15°.