Question

please solve this question​

Answer 1

correct answer is X = 15°

HOPE MY ANSWER IS CORRECT

Answer 2

EXPLANATION.

⇒ tan3x = sin45°.cos45° + sin30°.

As we know that,

⇒ tan3x = 1/√2 x 1/√2 + 1/2.

⇒ tan3x = 1/2 + 1/2.

⇒ tan3x = 2/2.

⇒ tan3x = 1.

⇒ tan3x = tan(45°).

⇒ 3x = 45°.

⇒ x = 15°.

                                                                                                                       

MORE INFORMATION.

(1) = sin²θ + cos²θ = 1.

(2) = 1 + tan²θ = sec²θ.

(3) = 1 + cot²θ = cosec²θ.