Find the Trigonometric Form of the Complex Number Shown Below $- 3 + 4 i$

question 106

Multiple Choice

Find the trigonometric form of the complex number shown below. $- 3 + 4 i$

• A) \(\sqrt { 25 }\) (cos (arctan (- \(\frac { 1 } { 6 }\) )) + i sin (arctan (- \(\frac { 1 } { 6 }\) )))
• B) \(\sqrt { 25 }\) (cos (arctan ( \(\frac { 4 } { 5 }\) )) + i sin (arctan ( \(\frac { 4 } { 5 }\) )))
• C) \(\sqrt { 25 }\) (cos (arctan (- \(\frac { 4 } { 3 }\) )) + i sin (arctan (- \(\frac { 4 } { 3 }\) )))
• D) \(\sqrt { 25 }\) (cos (arctan (- \(\frac { 2 } { 3 }\) )) + i sin (arctan (- \(\frac { 2 } { 3 }\) )))
• E) \(\sqrt { 25 }\) (cos (arctan (4)) + i sin (arctan (4)))

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