Question

without using a calculator, decide whether the function value is positive or negative. (hint: consider the radian measures of the quadrantal angles.) cos 6 is the value of the function cos 6 positive or negative? positive negative

Explanation:

Step1: Recall quadrant - angle ranges

We know that $2\pi\approx 6.28$ and $\frac{3\pi}{2}\approx 4.71$. Since $\frac{3\pi}{2}<6 < 2\pi$, the angle of 6 radians lies in the fourth - quadrant.

Step2: Recall cosine sign in quadrants

The cosine function $y = \cos\theta$ is positive in the first and fourth quadrants, and negative in the second and third quadrants.

Answer:

positive