Final answer:
The tool that can find the exact value of a trigonometric function is the c)Trigonometric function calculator. This tool is designed to give direct values for sine, cosine, and tangent based on the input of an angle.
Step-by-step explanation:
The tool that can find the exact value of a trigonometric function is a Trigonometric function calculator (option C).
While trigonometric identities solvers and equation solvers can assist with manipulating and solving expressions and equations involving trigonometric functions, it is the function calculator that is specifically designed to provide exact values. Devices like the TI-83, TI-83+, or TI-84 calculators have built-in functionality to calculate the values of trigonometric functions directly.
When working with trigonometry, the relationship between the angles and sides of right-angled triangles is essential. Utilizing a function calculator allows one to input the angle and immediately obtain the corresponding trigonometry ratio such as the sine, cosine, or tangent of that angle. For example, in a right triangle where angle A and the hypotenuse are known, you can use the trigonometric function calculator to find the lengths of the adjacent side (Ax) through the cosine function, or the length of the opposite side (Ay) through the sine function, using the formulas Ax/A = cos A and Ay/A = sin A.