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^∘

3. Apply the property that sin(θ)=sin(θ−360^∘)

sin(540^∘)=sin(180^∘)

4. 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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