If tan 2x = cot (2x - 30°) where 2x is an acute angle find the value of x.
Answer & explanation
Correct answer: option 2
We know that if tan A = cot B, then A + B = 90°
ATQ,
tan 2x = cot (2x - 30°)
⇒ 2x + 2x - 30° = 90°
⇒ 4x = 120°
⇒ x = 30°
If tan 2x = cot (2x - 30°) where 2x is an acute angle find the value of x.
Correct answer: option 2
We know that if tan A = cot B, then A + B = 90°
ATQ,
tan 2x = cot (2x - 30°)
⇒ 2x + 2x - 30° = 90°
⇒ 4x = 120°
⇒ x = 30°