Find the Value Using the Unit Circle sin(3/4)

Problem

sin((3*π)/4)

Solution

1. Identify the angle on the unit circle. The angle (3*π)/4 is located in the second quadrant.

2. Determine the reference angle. The reference angle is found by subtracting the angle from π

π−(3*π)/4=π/4

3. Recall the sine value for the reference angle. For π/4 the sine value is √(,2)/2

4. Determine the sign of the function. In the second quadrant, the sine function (the ycoordinate) is positive.

5. Combine the value and the sign to find the result.

sin((3*π)/4)=√(,2)/2

Final Answer

sin((3*π)/4)=√(,2)/2

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