Find the Exact Value sin(450)

Problem

sin(450^∘)

Solution

1. Identify the angle and determine if it is within the standard range of 0^∘ to 360^∘

2. Find the coterminal angle by subtracting 360^∘ from 450^∘ to bring the angle into the first rotation.

θ=450^∘−360^∘

θ=90^∘

3. Evaluate the sine of the coterminal angle using the unit circle, where the coordinates at 90^∘ are (0,1)

sin(90^∘)=1

Final Answer

sin(450^∘)=1

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