What is the polar form of <mstyle displaystyle="true"> ( - 11

Leland Morrow 2022-06-19 Answered
What is the polar form of ( - 11 , 121 ) ?
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Answers (1)

iceniessyoy
Answered 2022-06-20 Author has 27 answers
Step 1
The radius can be calculated using the Pythagorean Theorem as
XXX r = ( - 11 ) 2 + 121 2 121.4989712
Step 2
tan ( π ) = 121 - 11 = - 11
The standard arctan function gives us the reference angle in either Quadrant I or Quadrant IV (in Q IV in this case since the value of the "tan" is negative).
arctan ( - 11 ) - 1.48013644
θ = π + arctan ( - 11 ) 1.661456214
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