Question

Given that sin theta=0.3262 and theta is in quadrant I,find sin theta/2

Answer 1

The answer to your question is: sin Ф = 0.1654

Explanation:

Data

sin Ф = 0.3262

Process

sin⁻¹ Ф = Ф = 19.034°

Ф/2 = 9.519°

sin Ф/2 = sin (9.519) = 0.1654

Answer 2

sin θ/2 = 0.1654

Explanation:

sin²θ + cos²θ = 1

cos²θ = 1 - sin²θ

cos²θ = 1 - (0.3262)²

cos²θ = √1 - (0.3262)²

cosθ = 0.9453

sin θ/2 = √1-cosθ/2

sin θ/2 = √1-0.9453/2

sin θ/2 = √0.02735

sin θ/2 = 0.1654

Best of Luck!