If sin 4θ = \(\frac{\sqrt {3 }}{2}\), then find the value of tan (75° - θ).
Answer & explanation
Correct answer: option 1
sin4θ = \(\frac{\sqrt {3}}{2}\)
⇒ 4θ = 60° ⇒ θ = 15°
tan (75° - 15)° = tan 60° = \(\sqrt { 3}\)
If sin 4θ = \(\frac{\sqrt {3 }}{2}\), then find the value of tan (75° - θ).
Correct answer: option 1
sin4θ = \(\frac{\sqrt {3}}{2}\)
⇒ 4θ = 60° ⇒ θ = 15°
tan (75° - 15)° = tan 60° = \(\sqrt { 3}\)