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Find the Exact Value sin(540)

Problem

sin(540)

Solution

  1. Identify the angle and its unit. The angle is 540

  2. Find the coterminal angle within the standard range of 0 to 360 by subtracting 360

540−360=180

  1. Apply the property that sin(θ)=sin(θ−360)

sin(540)=sin(180)

  1. Evaluate the sine of 180 using the unit circle, where the ycoordinate at 180 is 0

sin(180)=0

Final Answer

sin(540)=0


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