Use the unit circle, along with the definitions of the circular functions, to find the exact value for the function at the right, given s = 7π/6.
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To find the exact value for the function, we need to determine the values of the circular functions at the angle s = 7π/6 radians on the unit circle.
First, let's find the point on the unit circle that corresponds to the angle 7π/6 radians.
In the unit circle, the angle 7π/6 radians is in the third quadrant (Q3).
We know that the point on the unit circle in Q3 has coordinates (x, y) where x < 0 and y < 0.
Since the unit circle has a radius of 1, the coordinates of the point can be found using the following trigonometric identity:
x = cos(s)
y = sin(s)
cos(7π/6) = cos(π/6) = √3/2
sin(7π/6) = sin(π/6) = -1/2
Therefore, the exact value of the function at s = 7π/6 is:
cos(7π/6) = √3/2
sin(7π/6) = -1/2