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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