Question 25
TrigonometrySolve 6 sin 2θ tan θ = 4, where 0° < θ < 90°.
- A.35.26°
- B.30.00°
- C.19.47°
- D.18.43°
Show the answer and explanation
Answer: A (35.26°)
Explanation
sin 2θ tan θ = 2 sin θ cos θ × sin θ/cos θ = 2sin²θ. So 12 sin²θ = 4, sin θ = 1/√3 and θ ≈ 35.26°.