at how many points in the interval - 2π, 2π is cos θ at maximum or a minimum? 4 points 2 points 3 points 5…

at how many points in the interval - 2π, 2π is cos θ at maximum or a minimum? 4 points 2 points 3 points 5 points

at how many points in the interval - 2π, 2π is cos θ at maximum or a minimum? 4 points 2 points 3 points 5 points

Answer

Explanation:

Step1: Recall cosine - function properties

The cosine function is (y = \cos\theta), and its general form for maxima and minima is (\theta=k\pi), where (k\in Z) (integers).

Step2: Find values of (k) for the given interval

We want to find the values of (k) such that (- 2\pi\leq k\pi\leq2\pi). Dividing the inequality (-2\pi\leq k\pi\leq2\pi) by (\pi), we get (-2\leq k\leq2). When (k = - 2), (\theta=-2\pi); when (k=-1), (\theta =-\pi); when (k = 0), (\theta = 0); when (k = 1), (\theta=\pi); when (k = 2), (\theta = 2\pi).

Answer:

5 points