Find the Exact Value sin(pi/4)

Problem

sin(π/4)

Solution

1. Identify the angle in degrees to visualize the position on the unit circle.

π/4* radians=45

2. Recall the coordinates of the unit circle for a 45 angle, where the x and y values are equal.

x=√(,2)/2

y=√(,2)/2

3. Apply the definition of the sine function on the unit circle, which states that sin(θ) is equal to the ycoordinate of the point.

sin(π/4)=y

4. Substitute the ycoordinate value to find the exact result.

sin(π/4)=√(,2)/2

Final Answer

sin(π/4)=√(,2)/2

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