When Θ = 5 pi over 3, what are the reference angle and the sign values for sine, cosine, and tangent?
When Θ = 5 pi over 3, what are the reference angle and the sign values for sine, cosine, and tangent?
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OK.......converting from rads to degrees, we have
(5pi)/3 = 180 degrees/pi = 300 degrees....this is just a 60 degree reference angle in the 4th quadrant. The normal sine value of a 60 degree angle is SQRT(3)/2 and the tangent value is SQRT(3). Since this angle is in the 4th quad, both of these will be negative. The cosine will have the same value as it does in the first quad....1/2.
When Θ = 5 pi over 3, what are the reference angle and the sign values for sine, cosine, and tangent?
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OK.......converting from rads to degrees, we have
(5pi)/3 = 180 degrees/pi = 300 degrees....this is just a 60 degree reference angle in the 4th quadrant. The normal sine value of a 60 degree angle is SQRT(3)/2 and the tangent value is SQRT(3). Since this angle is in the 4th quad, both of these will be negative. The cosine will have the same value as it does in the first quad....1/2.