Question

How do you determine the quadrants of radians on a graph in precalculus

A) By evaluating trigonometric functions at specific points.

B) By analyzing the sign of the cosine function in each quadrant.

C) By checking if the angle measure is odd or even.

D) By finding the average value of the sine and cosine functions.

Answer 1

To determine the quadrants of radians on a graph in precalculus, you analyze the sign of the cosine function in each quadrant.

Step-by-step explanation:

The correct answer is B) By analyzing the sign of the cosine function in each quadrant.

In precalculus, radians are measured in terms of the unit circle. The unit circle is divided into four quadrants, and each quadrant has a different sign for the cosine function. By analyzing the sign of the cosine function in each quadrant, you can determine which quadrant a given angle in radians belongs to.

For example, if the cosine of an angle is positive, the angle is in either the first or the fourth quadrant. If the cosine is negative, the angle is in either the second or the third quadrant. By evaluating the sign of the cosine function at specific points, you can determine the quadrants of radians on a graph.