How do you convert $(2, \frac{π}{2})$ $(2, pi/2)$ into cartesian form?

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How do you convert $(2, \frac{π}{2})$ $(2, pi/2)$ into cartesian form?

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Answer 1 · 2016-06-20T18:19:00

(0 ,2)

Explanation:

Using the formulae that links Polar to Cartesian coordinates.

$∙ x = r cos θ and y = r sin θ$ $•x=rcostheta" and " y=rsintheta$

here r = 2 and $θ = \frac{π}{2}$ $theta=pi/2$

$x = 2 cos (\frac{π}{2}) = 2 \times 0 = 0$ $x=2cos(pi/2)=2xx0=0$

and $y = 2 sin (\frac{π}{2}) = 2 \times 1 = 2$ $y=2sin(pi/2)=2xx1=2$

$\Rightarrow (2, \frac{π}{2}) \to (0, 2)$ $rArr(2,pi/2)to(0,2)$

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How do you convert $(2, \frac{π}{2})$ $(2, pi/2)$ into cartesian form?

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