Final answer:
A 'finding exact values of trig functions given a point' calculator is used to compute trigonometric ratios for specific angles, which are essential in trigonometry. It uses the coordinates of a given point to calculate the sine, cosine, and tangent of the angle associated with that point. Option A is the correct answer.
Step-by-step explanation:
A "finding exact values of trig functions given a point" calculator computes trigonometric ratios for specific angles. This is directly related to trigonometry, which is the study of relationships involving lengths and angles of triangles. The task of this calculator is generally to calculate the sine, cosine, and tangent of an angle based on a given point on a unit circle or based on the dimensions of a right-angled triangle.
For a point P(x, y) on the unit circle, the values of the sine and cosine functions can be computed directly from the coordinates; sin θ = y and cos θ = x, where θ is the angle formed by the line segment joining the origin and point P with the positive X-axis.
The tangent function tan θ can be found by the ratio of sine to cosine, tan θ = sin θ / cos θ. For a right-angled triangle, the trigonometric functions are ratios between various sides of the triangle: sin A = opposite/hypotenuse, cos A = adjacent/hypotenuse, and tan A = opposite/adjacent. These relationships allow the calculation of unknown angles or sides, given some known measurements of the triangle.