Determine the exact values of sinθ and cosθ given that the terminal side of angle θ intersects the unit circle in the first quadrant at (13/18,y).

Respuesta :

Answer:

cos θ = 13/18 ≈ 0.72

sin θ = √155/324 ≈ 0.69

Step-by-step explanation:

unit circle: radius = 1

terminal point: (13/18,y), θ in first quadrant, sinθ and cosθ are all positive

cos θ = (13/18)/1 = 13/18 ≈ 0.72

sin θ = y/1 = y = √1-cos²θ = √1 - (13/18)² = √155/324 ≈ 0.69

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