# Question Graph the set of points whose polar coordinates satisfy the equation $$\theta=\frac{\pi}{3}, r \geq 0$$. Choose the graph that represents the equation $$\theta=\frac{\pi}{3}, r \geq 0$$.

Transcribed Image Text: Graph the set of points whose polar coordinates satisfy the equation $$\theta=\frac{\pi}{3}, r \geq 0$$. Choose the graph that represents the equation $$\theta=\frac{\pi}{3}, r \geq 0$$.
Transcribed Image Text: Graph the set of points whose polar coordinates satisfy the equation $$\theta=\frac{\pi}{3}, r \geq 0$$. Choose the graph that represents the equation $$\theta=\frac{\pi}{3}, r \geq 0$$.
&#12304;General guidance&#12305;The answer provided below has been developed in a clear step by step manner.Step1/2Solution :- We know that $$\mathrm{{x}={r}{\cos{{\left(\theta\right)}}},{y}={r}{\sin{{\left(\theta\right)}}}}$$and $$\mathrm{{x}^{{2}}+{y}^{{2}}={r}^{{2}}}$$Also $$\mathrm{{\tan{{\left(\theta\right)}}}=\frac{{y}}{{x}}}$$so we get \( \mathrm{\theta={{\tan}^{{-{{1}}}}{\left(\frac{{y}}{{x}}\right)}}} \ ... See the full answer