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polar (1, 2)

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`x`²	`x`^□	log_□	√☐	^□√☐	≤	≥	□□	·	÷	`x`^◦	π
(☐)^′	`ddx`	∂∂`x`	∫	∫_□^□	lim	∑	∞	`θ`	(`f` ◦ `g`)	`f`(`x`)

☐²

x^☐

√☐

^□√☐

□□

log_□

θ

∞

∫

ddx

≥	≤	·	÷	`x`^◦	(☐)	\|☐\|	(`f` ◦ `g`)	`f`(`x`)	ln	`e`^☐
(☐)^′	∂∂`x`	∫_□^□	lim	∑	sin	cos	tan	cot	csc	sec

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cartesian to polar (1, 2)

Solution

(√5, arctan(2))

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Solution steps

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Definition

To convert Cartesian coordinates (x, y) to Polar coordinates (r, θ) apply:
r=√x²+y² θ=arctan(yx )

x=1

y=2

r=√x²+y²

r=√1²+2²

Simplify

r=√5

θ=arctan(yx )

θ=arctan(21 )

Simplify

θ=arctan(2)

The polar coordinates of (1, 2)

(√5, arctan(2))

Cartesian to Polar Examples

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Notebook

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−▭▭	<	7	8	9	÷	`AC`
+▭▭	>	4	5	6	×	☐☐☐
×▭▭	(	1	2	3	−	`x`
▭ \|▭	)	.	0	=	+	`y`

polar (1, 2)

Solution

Solution steps

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