SOLUTION: Write the complex number, -square root of 3 +I in trigonometric form. Must be one of the following forms. A. Square root of 2(cos 5pi/6 + isin5pi/6 B. 2(cos5pi/6 + isin5pi/6) C

Algebra ->  Trigonometry-basics -> SOLUTION: Write the complex number, -square root of 3 +I in trigonometric form. Must be one of the following forms. A. Square root of 2(cos 5pi/6 + isin5pi/6 B. 2(cos5pi/6 + isin5pi/6) C      Log On


   

Question 1198024: Write the complex number, -square root of 3 +I in trigonometric form. Must be one of the following forms.
A. Square root of 2(cos 5pi/6 + isin5pi/6
B. 2(cos5pi/6 + isin5pi/6)
C. 2(cospi/6 - sinpi/6
D. 4(cos5pi/6 - sin5pi/)
E. Square root of 2(cospi/6 + isinpi/6
Answer by greenestamps(13203) About Me  (Show Source):
You can put this solution on YOUR website!


The real part -sqrt%283%29 is negative and the imaginary part 1i is positive, so the complex number is in quadrant II.

The magnitude is sqrt%28%28sqrt%283%29%5E2%29%2B%281%29%5E2%29=sqrt%284%29=2

The reference angle is tan%5E%28-1%29%281%2Fsqrt%283%29%29 = 30 degrees or pi/6 radians. A reference angle of pi/6 radians in quadrant II means the angle is 5pi/6.

The magnitude is 2; the angle is 5pi/6. So

ANSWER: B. 2(cos5pi/6 + isin5pi/6)