SOLUTION: Express 2 - 2i in polar form using principal argument

Question 1138879: Express 2 - 2i in polar form using principal argument
Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!
Express in polar form using principal argument
=>
The modulus (or length) of the complex number is simply given by using Pythagoras' theorem to find the hypotenuse, ie

=>
will be easier to find acute angle in quadrant I whose tan is

or °
now find

=> is in quadrant IV
=> ° or
=> we can also choose to use which is also in quadrant IV
so, ° or
then we have
......since and , we have

or using° , we have
also, using or ° :

or

RELATED QUESTIONS
Express -1 + √3i in polar form using principal... (answered by ikleyn)

express in polar form, using the smallest non-negative value for the argument. -1/2 +... (answered by stanbon)

Write the complex number in polar form with argument θ between 0 and 2pi.... (answered by ikleyn)

Express 1 + 2i in polar... (answered by venugopalramana)

express in polar form: a) 2i b)... (answered by tommyt3rd)

Write the complex number in polar form with argument θ between 0 and 2π.... (answered by ikleyn)

find the three cube roots of 6-2i and express the roots in polar form. (answered by Edwin McCravy)

express 8i in polar... (answered by stanbon)

Express in polar form:... (answered by Fombitz)