juniorcastaneda8811 juniorcastaneda8811
  • 23-07-2019
  • Mathematics
contestada

r=2sec(theta) converted into a cartesian equation

Respuesta :

jdoe0001 jdoe0001
  • 23-07-2019

[tex]\bf r=2sec(\theta )\qquad \begin{cases} x=rcos(\theta )\\ \frac{x}{r}=cos(\theta ) \end{cases}\qquad \implies r=2\cdot \cfrac{1}{cos(\theta )}\implies r=\cfrac{2}{~~\frac{x}{r}~~} \\\\\\ r=\cfrac{\frac{2}{1}}{~~\frac{x}{r}~~}\implies r=\cfrac{2r}{x}\implies x=\cfrac{2~~\begin{matrix} r \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}{~~\begin{matrix} r \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}\implies x=2[/tex]

Answer Link

Otras preguntas

16% of 95 is what number? Please answer this fast I'll mark you as brainliest. Thank You.
need help with this algebra ii question
Figure D is the result of transforming Figure C. 1. What transformation would accomplish this?
why are Americans so unhappy with Congress? What are some reforms that Congress should undergo to improve the public's opinion of this branch of government?
HELP ME SOLVEEEE !!!!!
Which medical emergency is caused by the failure of two or more organ systems?
[tex]Simplify: \frac{ 5×(25)^{n+1} - 25 × (5)^{2n}}{5×(5)^{2n+3 }- (25)^{n+1​}} \\ [/tex]Need help please"....."​
how do i solve xk=v-w solve for x
pls help me i will brainliest u if u answer it correct​
In triangle, ABC, sin A = 1/2b =20,and m