If tan 3x = cot(30º + 2x), then what is the value of x?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is Option 1 i.e. 12º
We know that,
When tan A = cot B, then A + B = 90°
Since,
tan 3x = cot(30º + 2x)
∴ 3x + 30º + 2x = 90°
⇒ 5x = 60°
⇒ x = 12°