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What is the polar form of #( 7,53 )#?

Answer 1

Emily Ammerman

Use the equations
#x=rcosa#
#y=rsina#
#tana=y/x#
to solve the problem.

To convert this rectangular coordinate to polar form, just plug in the values for the equation.

#53/7=tana# #tan^-1=82 =a#

(Sorry for the whole number rounding. I was not able to find the rounding character.)

And now, plug the value in for the other equation to get r.

#7=rcos82# #53 = rsin82#

#r=53#

Answer: #(53, 82)#

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Answer 2

Evelyn Agard

The polar form of the complex number (7, 53) is (7(\cos{53^\circ} + i\sin{53^\circ})).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.