Find the Value Using the Unit Circle sin(135)
Problem
Solution
Identify the position of
135 on the unit circle. Since90<135<180 the angle lies in Quadrant II.Calculate the reference angle
θ′ In Quadrant II, the reference angle is found by subtracting the angle from180
Determine the sign of the sine function. In Quadrant II, the
y coordinates are positive, sosin(135) is positive.Apply the known value for the reference angle. On the unit circle, the sine of
45 is√(,2)/2
Final Answer
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