Evaluate sin(90 degrees )

Problem

sin(90^∘)

Solution

1. Identify the angle in the context of 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. On the unit circle, sin(θ) is equal to the y-coordinate of the point.

4. Extract the value. Since the y-coordinate is 1 the value of the expression is 1

Final Answer

sin(90^∘)=1

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