If tan 3x = cot (3x - 15°) where 3x is an acute angle find the value of 2x.
Answer & explanation
Correct answer: option 2
We know that if tan A = cot B, then A + B = 90°
ATQ,
tan 3x = cot (3x - 15°)
⇒ 3x + 3x - 15° = 90°
⇒ 6x = 105°
⇒ 2x = 35°
If tan 3x = cot (3x - 15°) where 3x is an acute angle find the value of 2x.
Correct answer: option 2
We know that if tan A = cot B, then A + B = 90°
ATQ,
tan 3x = cot (3x - 15°)
⇒ 3x + 3x - 15° = 90°
⇒ 6x = 105°
⇒ 2x = 35°