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

The answer to your question is:  sin Ф = 0.1654

Step-by-step 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

sin θ/2 = 0.1654

Step-by-step 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!

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step-by-step explanation:

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