Get the answer to "What is the polar form of (1, 3)?"

Elaina Conner

Answered question

2022-02-01

What is the polar form of (1, 3)?

helmedktv

Beginner2022-02-02Added 7 answers

Step 1
The polar coordinates

(r, θ)

of a point with rectangular coordinates (x, y) satisfy

r^{2} = x^{2} + y^{2}

and

\tan (θ) = \frac{y}{x}

(when

x \neq 0

)
Since the point

(x, y) = (1, 3)

is in the first quadrant, we can use the arctangent function to solve for the angle if we take r to be the positive square root of

x^{2} + y^{2} = 1^{2} + 3^{2} = 10

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