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Convert from rectangular quantities into polar form

0 votes

I need help with these three problems. Thank you so much.

asked Nov 18, 2016 in TRIGONOMETRY by anonymous

3 Answers

0 votes

(1)

Step 1 :

Conversion from rectangular to polar equation :

image and image

(a)

The rectangular equation is image.

Substitute image in polar equation.

Find magnitude.

image

Find angle.

image

The polar equation is image

(b)

The rectangular equation is image.

Substitute image in polar equation.

Find magnitude.

image

Find angle.

image

The polar equation is image

Solution :

(a) The polar equation is image

(b) The polar equation is image

answered Nov 18, 2016 by Anney Mentor
0 votes

(2)

Step 1 :

Conversion from Polar to rectangular equation :

image and image.

(a)

The polar form is image

Substitute image in the rectangular equation.

image

The rectangular form is image

(b)

The polar form is image

Substitute image in the rectangular equation.

image

The rectangular form is image

(c)

The polar form is image

Substitute image in the rectangular equation.

image

The rectangular form is image

Solution :

(a) The rectangular form is image

(b) The rectangular form is image

(c) The rectangular form is image

answered Nov 18, 2016 by Anney Mentor
0 votes

(3)

Step 1 :

The expression is , Where,

Conversion from Polar to rectangular equation :

image and image.

(i)

The polar form is

Substitute in the rectangular equation.

(ii)

The polar form is

Substitute in the rectangular equation.

(iii)

The polar form is

Substitute in the rectangular equation.

Find the value of .

image

image

Convert into polar form is

image

Solution :

The resulting phasor in polar form is image

answered Nov 18, 2016 by Anney Mentor

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