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

Charity has 3 times as long a walk to school as Michele has and the difference between the distances they walk is ½ mile. How far does each walk?
in 35 words or fewer, do you think henry’s audience was more likely to listen to him after he said this?
A text that describes events in the order they happened is structured according to
The rate law for the reaction A → products is rate = 4.36 × 10-2 M-1s-1 [A]2. What is the half-life of the reaction if the initial concentration of A is 0.250 M
Please look at the attached file for the Algebra question. Please help!!
according to Quindlen, how is america different from other countries?
DUE TOMORROW I was absent my friend brought me my hw but I can't do the science one PLZ ANSWER
What is the most important change in a chemical change? 1) identity 2)shape 3)size 4)form 5)state
angle 3 and 4 are supplementary angles. Angle 3 is 88degressn . What is the measure of angle 4
What's doubling and halving for 12 times 13