solve for the value of sine and cosine function of 60 degrees.
To solve for the value of the sine and cosine functions of 60 degrees, we can use the unit circle. The unit circle is a circle with a radius of 1, centered at the origin of a coordinate plane.
To find the value of sine and cosine at an angle of 60 degrees, we locate the point on the unit circle that corresponds to that angle.
In a unit circle, the x-coordinate of a point on the circle represents the cosine of the angle, and the y-coordinate represents the sine of the angle.
Here's how we find the values for 60 degrees:
1. Start by drawing a unit circle on a coordinate plane.
2. Locate the angle of 60 degrees on the circle. This corresponds to a point on the circle where the angle between the positive x-axis and the line connecting the origin and the point is 60 degrees.
3. The x-coordinate of this point represents the cosine of 60 degrees, and the y-coordinate represents the sine of 60 degrees.
Using the unit circle, we can see that the point on the circle corresponding to an angle of 60 degrees is located at (√3/2, 1/2).
Therefore, the value of the cosine of 60 degrees is (√3/2) and the value of the sine of 60 degrees is 1/2.
form the diagram you drew in your previous post,
sin60° = √3/2
cos60° = 1/2