Final answer:
To calculate the exact value of each trigonometric function for a given angle, you will need to use the ratios of the sides of a right triangle. The main trigonometric functions are sine, cosine, and tangent.
Step-by-step explanation:
To calculate the exact value of each trigonometric function for a given angle, you will need to use the ratios of the sides of a right triangle. The main trigonometric functions are sine, cosine, and tangent. Here are the steps to calculate the exact value of each trigonometric function:
- Determine the angle for which you want to find the trigonometric function.
- Create a right triangle where the angle you want to find is one of the acute angles.
- Label the sides of the triangle as adjacent (A), opposite (O), and hypotenuse (H), based on the angle you want to find.
- Use the trigonometric ratios:
- The sine (sin) of the angle is equal to the length of the opposite side divided by the length of the hypotenuse: sin(angle) = O/H.
- The cosine (cos) of the angle is equal to the length of the adjacent side divided by the length of the hypotenuse: cos(angle) = A/H.
- The tangent (tan) of the angle is equal to the length of the opposite side divided by the length of the adjacent side: tan(angle) = O/A.
Use a calculator or trigonometric tables to find the approximate value of the trigonometric function.