Chapter 13.2, Problem 1OE

To determine

To find: The points on the circle have the property that $\cos s=0$ , and sketch a circle .

Answer to Problem 1OE

The two points have the property that $\cos s=0$ .

Explanation of Solution

Given information:

The given equation is

  $x^2+y^2=1$ .

To graph:

Using MAPLE to graph the given expression.

  

Figure $\left(1\right)$

Clearly, from the graph, when the terminal ray is along the $y-axis$ then $\cos s=0$ at two points .

  $(\theta =\raisebox{1ex}{$\pi $}\!\left/ \!\raisebox{-1ex}{$2$}\right.or=\raisebox{1ex}{$3\pi $}\!\left/ \!\raisebox{-1ex}{$2$}\right.$

Therefore, the two points have the property that $\cos s=0$ .