What is the Cartesian form of $(49,(2pi)/4)$ ?

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Answer 1 · 2017-07-28T16:12:27

$(0,49)$

We're asked to find the Cartesian (rectangular) form of a polar coordinate.

We can use the following two equations:

$x = rcostheta$

$y = rsintheta$

Here,

Thus, we have

$x = 49cos(pi/2) = color(red)(0$

$y = 49sin(pi/2) = color(blue)(49$

The coordinate point is therefore

$(color(red)(0), color(blue)(49))$

What is the Cartesian form of (49,(2pi)/4)(49,(2pi)/4)?