Answer the given questions about the indicated examples of this section.

In Example 6, if the point (−1, √3) is replaced with the point (1,− √3), what are the resulting values?

Data from Example 6

Determine the trigonometric functions of θ if the terminal side of θ passes through (−1, √3). See Fig. 8.4. We know that x = −1, y = √3, and from the Pythagorean theorem, we find that r = 2. Therefore, the trigonometric functions of θ are

The point −(1, √3) is in the second quadrant, and the signs of the functions of θ are those of a second-quadrant angle.

sin = S = 0.8660 2 cot = 1/33 cose = -1/2 = -0.5000 = -0.5774 sec 0 = -2=-2.000 tan = csc0 = -3 = -1.732 2 3/3 = 1.155