Question

Given that P = (3,-7) is a point on the terminal side of an angle A, find each of the six trigonometric functions of A. Round to the nearest thousandth.

i. sinA =
ii. cosA =

Answer 1

To find the trigonometric functions of angle A, we use the coordinates of a point on the terminal side of A and apply the ratios for sine and cosine.

Step-by-step explanation:

Given that P = (3,-7) is a point on the terminal side of an angle A, we can use the coordinates to find the values of the trigonometric functions of A.

First, let's find the hypotenuse of the right triangle formed by the point P. The distance formula gives us: |P| = sqrt((3)^2 + (-7)^2) = sqrt(58).

Now, we can find each of the six trigonometric functions using the following ratios:

i. sinA = opposite/hypotenuse = -7/sqrt(58)

ii. cosA = adjacent/hypotenuse = 3/sqrt(58)