If sin 4x = cos (4x - 30°) where 4x is an acute angle find the value of x .
Answer & explanation
Correct answer: option 4
We know that if sin A = cos B, then A + B = 90°
ATQ,
sin 4x = cos (4x - 30°)
⇒ 4x + 4x - 30° = 90°
⇒ 8x = 120°
⇒ x = 15°
If sin 4x = cos (4x - 30°) where 4x is an acute angle find the value of x .
Correct answer: option 4
We know that if sin A = cos B, then A + B = 90°
ATQ,
sin 4x = cos (4x - 30°)
⇒ 4x + 4x - 30° = 90°
⇒ 8x = 120°
⇒ x = 15°