document.write( "Question 1198024: Write the complex number, -square root of 3 +I in trigonometric form. Must be one of the following forms.
\n" ); document.write( "A. Square root of 2(cos 5pi/6 + isin5pi/6
\n" ); document.write( "B. 2(cos5pi/6 + isin5pi/6)
\n" ); document.write( "C. 2(cospi/6 - sinpi/6
\n" ); document.write( "D. 4(cos5pi/6 - sin5pi/)
\n" ); document.write( "E. Square root of 2(cospi/6 + isinpi/6 \n" ); document.write( "

Algebra.Com's Answer #831528 by greenestamps(13203) $\"\"$ $\"About$

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\n" ); document.write( "The real part $\"-sqrt%283%29\"$ is negative and the imaginary part $\"1i\"$ is positive, so the complex number is in quadrant II.

\n" ); document.write( "The magnitude is $\"sqrt%28%28sqrt%283%29%5E2%29%2B%281%29%5E2%29=sqrt%284%29=2\"$

\n" ); document.write( "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.

\n" ); document.write( "The magnitude is 2; the angle is 5pi/6. So

\n" ); document.write( "ANSWER: B. 2(cos5pi/6 + isin5pi/6)

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