Chapter 14, Problem 37SGR

To determine

To Solve :The given value is $2\cos \theta -1=0,0°\le \theta <360$

Answer to Problem 37SGR

  $\theta =\frac{\pi }{3},\frac{5\pi }{3}$

Explanation of Solution

Given information :

We know that, the given information is $2\cos \theta -1=0,0°\le \theta <360°m\cos \theta =\frac{1}{2}$

Calculation :

  $\begin{array}{l}\cos \theta =\frac{1}{2}\\ \theta =\frac{\pi }{3},\frac{5\pi }{3}\\ \text{As }\theta {\text{ is positive in I}}^{\text{st}}{\text{ and IV}}^{\text{th}}\text{ quadrant}\text{.}\end{array}$