What is the polar form of ( 7,21 )(7,21)?

1 Answer
Jim G.
Mar 28, 2016

(7sqrt10 , 71.6^@)(7√10,71.6∘)

Explanation:

To convert Cartesian to Polar coordinates , use the formula that links them.

• r = sqrt(x^2 + y^2 ) ∙r=√x2+y2

• theta = tan^-1(y/x) ∙θ=tan−1(yx)

here x = 7 and y = 21

rArr r = sqrt(7^2 + 21^2) = sqrt490 = sqrt(49xx10) = 7sqrt10⇒r=√72+212=√490=√49×10=7√10

and theta = tan^-1(21/7) = tan^-1 3 ≈ 71.6^@ θ=tan−1(217)=tan−13≈71.6∘

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