Find the Value Using the Unit Circle sin(2520)

Problem

sin(2520)

Solution

1. Identify the angle and its units. The angle is 2520

2. Find the coterminal angle within the range [0,360) by dividing the angle by 360 to determine the number of full rotations.

2520÷360=7

3. Determine the remainder. Since 2520 is exactly 7 full rotations (7×360=2520, the remainder is 0

2520≡0*(mod()*360)

4. Evaluate the sine function at the coterminal angle using the unit circle. The coordinates at 0 on the unit circle are (1,0)

sin(2520)=sin(0)

5. Identify the y-coordinate of the point (1,0) to find the sine value.

sin(0)=0

Final Answer

sin(2520)=0

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