Use the graph below to approximate the solutions of the equation $- 2 \cos ( x ) - \sin ( x ) = 0$ on the interval $[ 0,2 \pi )$. Round your answer to one decimal.

A) $- 2.0,5.9$
B) $\quad 2.0,5.9$
C) $5.2,5.9$
D) $2,5.2$
E) $- 2,5.2$

Question

Use the graph below to approximate the solutions of the equation $- 2 \cos ( x ) - \sin ( x ) = 0$ on the interval $[ 0,2 \pi )$. Round your answer to one decimal.

A) $- 2.0,5.9$ 
B) $\quad 2.0,5.9$ 
C) $5.2,5.9$ 
D) $2,5.2$ 
E) $- 2,5.2$

Quizplus · Accepted Answer

From the graph, we can see that there are two solutions to the equation on the interval $[0,2\pi)$ where the curve crosses the x-axis. The x-coordinates of these points are approximately 2 and 5.2. So, the solutions are approximately 2 and 5.2, which leads us to choose option D, $2,5.2$, as the answer.

Use the Graph Below to Approximate the Solutions of the Equation