How do you convert $r = \frac{4}{cos (θ)}$ $r = 4/cos(theta)$ into cartesian form?

Question

How do you convert $r = \frac{4}{cos (θ)}$ $r = 4/cos(theta)$ into cartesian form?

1 Answer

Impact of this question

2210 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-06-05T04:24:46

$x = 4$ $x=4$ .

Explanation:

If $cos θ$ $cos theta$ is not 0, $r cos θ = x = 4$ $r cos theta= x =4$ .

The polar equation represents line parallel to y-axis ( $θ = 0$ $theta = 0$ ),

at a distance 4, above..

If r is restricted to be $\geq 0$ $>=0$ ( here, $\geq 4$ $>=4$ ), the whole line is traceable, in polar mode, for $θ \in (0, \frac{π}{2}) and θ \in (\frac{3 π}{2}, 2 π)$ $theta in (0, pi/2) and theta in ((3pi)/2, 2pi)$ . There are infinite discontinuities for r at $θ = \frac{π}{2} and θ = \frac{3 π}{2}$ $theta = pi/2 and theta=(3pi)/2$ ..

Interestingly, the half-lines traced this way are made in the same

direction $θ = 0$ $theta = 0$ .

Science

Math

Humanities

... and beyond

How do you convert $r = \frac{4}{cos (θ)}$ $r = 4/cos(theta)$ into cartesian form?

1 Answer

Explanation:

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

How do you convert r = 4/cos(theta)r=4cos(θ) r = 4/cos(theta) into cartesian form?

1 Answer

Explanation:

Related questions

Impact of this question

How do you convert $r = \frac{4}{cos (θ)}$ $r = 4/cos(theta)$ into cartesian form?