Find the Exact Value sin(90)

Problem

sin(90)

Solution

1. Identify the angle on the unit circle. The angle 90 corresponds to the positive y-axis.

2. Determine the coordinates of the point on the unit circle at 90 The coordinates are (0,1)

3. Apply the definition of the sine function. For any point (x,y) on the unit circle, sin(θ)=y

4. Extract the y-coordinate from the point (0,1) which is 1

Final Answer

sin(90)=1

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