The value of the trigonometry are sin(Π-Ɵ) = 0.84 and sin(Π + Ɵ) = -0.84
According to the question, there is a circle whose radius is 1 and the ray intersects the circle at point (0.54, 0.84).
We need to find the trigonometric values, that is
sin(Π-Ɵ) = sin(Ɵ) as we know that when the angle is in third quadrant sin is positive.
sin(Π+Ɵ) = -sin(Ɵ) as we know that when the angle is in fourth quadrant sin is negative.
Also note that, sinƟ = perpendicular/hypotenuse
Perpendicular = 0.84 as the perpendicular length will be equal to the length of the y-axis
Hypotenuse = 1 as the hypotenuse will be the radius of the circle which is formed by the ray.
Thus, sinƟ = 0.84/1 = 0.84
Hence, sin(Π-Ɵ) = 0.84
And sin(Π+Ɵ) = -0.84
Learn more about trigonometry here : brainly.com/question/13729598
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