Find the Exact Value sin(300)

Problem

sin(300)

Solution

1. Identify the reference angle by finding the distance between 300 and the nearest x-axis value, which is 360

360−300=60

2. Determine the quadrant of the angle. Since 300 is between 270 and 360 it lies in Quadrant IV.

3. Determine the sign of the sine function in Quadrant IV. In this quadrant, the y-coordinates are negative, so the sine value is negative.

sin(300)=−sin(60)

4. Apply the known value for the sine of 60

sin(60)=√(,3)/2

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

sin(300)=−√(,3)/2

Final Answer

sin(300)=−√(,3)/2

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