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

Want more problems? Check here!