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The measure θ of an angle in standard position is given. Find the exact values of cos θ and sin θ for the angle measure:

The measure θ of an angle in standard position is given Find the exact values of cos θ and sin θ for the angle measure class=

Respuesta :

Answer:

cosθ = -1/2, sinθ = [tex]\sqrt{3} /2[/tex]

Step-by-step explanation:

amna04352

Answer:

sin(2pi/3) = sqrt(3)/2

cos(2pi/3) = -1/2

Step-by-step explanation:

2pi/3 lies in the second quadrant with basic angle: pi - 2pi/3 = pi/3

sin(pi/3) = sqrt(3)/2

cos(pi/3) = 1/2

In the second quadrant, sin is positive and cos is negative

Therefore,

sin(2pi/3) = sqrt(3)/2

cos(2pi/3) = -1/2

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