Question 1(multiple choice worth 2 points)
write the complex number in the form a + bi.
square root of six(cos 315° + i sin 315°)
square root of three over two minus square root of three over two times i
square root of six minus square root of sixi
square root of three minus square root of threei
square root of six over two minus square root of six over two times i
question 2(multiple choice worth 1 points)
express the complex number in trigonometric form.
-2
2(cos 90° + i sin 90°)
2(cos 0° + i sin 0°)
2(cos 180° + i sin 180°)
2(cos 270° + i sin 270°)
question 3(multiple choice worth 2 points)
express the complex number in trigonometric form.
6 - 6i
six square root two times the quantity cosine of seven pi divided by four plus i times sine of seven pi divided by four
six square root two times the quantity cosine of five pi divided by four plus i times sine of five pi divided by four
six times the quantity cosine of seven pi divided by four plus i times sine of seven pi divided by four
six times the quantity cosine of five pi divided by four plus i times sine of five pi divided by four
question 4(multiple choice worth 2 points)
find the product of z1 and z2, where z1 = 2(cos 80° + i sin 80°) and z2 = 9(cos 110° + i sin 110°).
11(cos 190° + i sin 190°)
18(cos 8800° + i sin 8800°)
18(cos 190° + i sin 190°)
18(cos 80° + i sin 80°)
question 5(multiple choice worth 1 points)
express the complex number in trigonometric form.
-6i
6(cos 0° + i sin 0°)
6(cos 270° + i sin 270°)
6(cos 180° + i sin 180°)
6(cos 90° + i sin 90°)
question 6 (essay worth 2 points)
find the cube roots of 27(cos 330° + i sin 330°).