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Select the correct answer. Convert (1, 1) to polar form. A. (2, 45°) B. (1, 45°) C. (2, 225°) D. (, 45°)

Answer :

Answer:

(sqrt(2),45°)

Step-by-step explanation:

because norm of(1,1)=sqrt(1^2+1^2)=sqrt(2)

angle=arctan(1/1)=45°

lucic

Answer:

(√2,45°)

Step-by-step explanation:

Here you are required to convert  (x,y) to (r,Ф)

[tex]r=\sqrt{x^2+y^2}[/tex]

Ф= tan⁻¹ (y/x)

Given x=1 and y=1

[tex]r=\sqrt{1^2+1^2} \\\\\\r=\sqrt{1+1} =\sqrt{2}[/tex]

(1,1) is in the 1st quadrant thus Ф should be in the 1st quadrant too

Ф=tan⁻¹ (1) =45°

Hence (1,1) in polar form is (√2,45°)

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