The given point P is located on the unit circle. Find sin theta and cos theta
1 answer:
Answer:
sin θ = 0.98
cos θ = 0.198 (≈ 0.2)
Step-by-step explanation:
The steps described below, please check the calculation carefully again by yourself
radius = OP = 1
y² = ((11/61 - 1)² + (60/61 - 0)²)
= 6100 / (61 x 61) = 100/61 distance between 2 points
h² = y² - x² = OP² - (1 - x)²
100/61 - x² = 1 - (1 -2x + x²) = 2x - x²
2x = 100/61
x = 50/61
h² = 100/61 - (2500/3721) =3600/3721
h = 60/61
sin θ =h / OP = 60/61 = 0.98
cos θ = √1 - sin²θ = 0.198 (≈ 0.2)
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