To evaluate trigonometric functions, you need to use the values of the given angles and apply them to the corresponding trigonometric ratios. These ratios are sine, cosine, and tangent, which can be found on a unit circle or using a calculator. Simply plug in the angle value into the appropriate function to find the trigonometric value.
Sine, cosine, and tangent are the three primary trigonometric functions used to find the relationships between angles and sides of a right triangle. Sine (sin) represents the ratio of the opposite side to the hypotenuse, cosine (cos) represents the ratio of the adjacent side to the hypotenuse, and tangent (tan) represents the ratio of the opposite side to the adjacent side.
Yes, most scientific calculators have the ability to evaluate trigonometric functions. Look for buttons labeled "sin," "cos," and "tan" to input the angle and get the corresponding trigonometric value. Make sure your calculator is set to the correct angle unit (degrees or radians) before using.
Special angles, such as 30°, 45°, and 60°, have exact trigonometric values that can be found using special triangles or the unit circle. For example, the sine of 30° is 1/2, cosine of 45° is √2/2, and tangent of 60° is √3. Memorizing these values can make evaluating trigonometric functions easier.
The domain of trigonometric functions is all real numbers, while the range depends on the specific function. Sine and cosine have a range of [-1, 1], while tangent has a range of (-∞, ∞). It is important to note that some trigonometric functions, such as secant (sec) and cosecant (csc), have restricted domains due to undefined values.