Find the Exact Value sin(60)

Problem

sin(60)

Solution

1. Identify the angle on the unit circle. The angle 60 is a standard angle in the first quadrant.

2. Recall the coordinates for 60 on the unit circle. The point corresponding to 60 (or π/3 radians) is (1/2,√(,3)/2)

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

4. Extract the ycoordinate from the point (1/2,√(,3)/2)

Final Answer

sin(60)=√(,3)/2

Want more problems? Check here!