solve for the value of sine and cosine function of 60 degrees.
To solve for the values of the sine and cosine functions of 60 degrees, we can either use a calculator or refer to the trigonometric values of special angles.
Using a calculator:
1. Enter "60" on your calculator.
2. Press the "sin" button to find the value of the sine function, which is approximately 0.866.
3. Press the "cos" button to find the value of the cosine function, which is approximately 0.5.
Referring to the trigonometric values of special angles:
1. For a 60-degree angle in a right triangle, the side lengths are in the ratio 1:√3:2, with the hypotenuse being 2.
2. The sine function (sin) is defined as the ratio of the opposite side to the hypotenuse, so sin(60 degrees) = √3/2, which is approximately 0.866.
3. The cosine function (cos) is defined as the ratio of the adjacent side to the hypotenuse, so cos(60 degrees) = 1/2, which is 0.5.
Therefore, the values of the sine and cosine functions of 60 degrees are approximately sin(60 degrees) = 0.866 and cos(60 degrees) = 0.5, respectively.