The given point P is located on the unit circle. Find sin theta and cos theta

P (11/61 ,60/61)

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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