Write the Complex Number in Trigonometric Form $$r ( \cos \theta + i \sin \theta )$$

question 365

Multiple Choice

Write the complex number in trigonometric form $$r ( \cos \theta + i \sin \theta )$$ with θ in the interval [0°, 360°) .
- $- \sqrt { 7 } - \mathrm { i } \sqrt { 7 }$

• A) \(\sqrt { 14 } \left( \cos 225 ^ { \circ } + \mathrm { i } \sin 225 ^ { \circ } \right)\)
• B) \(\sqrt { 14 } \left( \cos 315 ^ { \circ } + i \sin 315 ^ { \circ } \right)\)
• C) \(\sqrt { 14 } \left( \cos 45 ^ { \circ } + i \sin 45 ^ { \circ } \right)\)
• D) \(\sqrt { 14 } \left( \cos 135 ^ { \circ } + i \sin 135 ^ { \circ } \right)\)

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