Find the Exact Value cos(360 degrees )
Problem
Solution
Identify the position of the angle on the unit circle. An angle of
360 represents one full counter-clockwise rotation.Determine the terminal side of the angle. The terminal side of
360 lies on the positive x-axis, which is the same position as0 Find the coordinates of the point on the unit circle at this angle. The point on the unit circle at
360 is(1,0) Apply the definition of the cosine function. On the unit circle,
cos(θ) is equal to the x-coordinate of the point.Extract the value from the coordinates. Since the x-coordinate is
1 the value of the cosine is1
Final Answer
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