# Complex numbers - examples

1. Goniometric form Determine goniometric form of a complex number ?.
2. ABS CN Calculate the absolute value of complex number -15-29i.
3. Moivre 2 Find the cube roots of 125(cos 288° + i sin 288°).
4. Reciprocal Calculate reciprocal of z=0.8-1.8i:
5. Log Calculate value of expression log |3 +7i +5i2| .
6. Bearing A plane flew 50 km on a bearing 63°20' and the flew on a bearing 153°20' for 140km. Find the distance between the starting point and the ending point.
7. Im>0? Is -10i a positive number?
8. De Moivre's formula There are two distinct complex numbers z such that z3 is equal to 1 and z is not equal 1. Calculate the sum of these two numbers.
9. Stadium A domed stadium is in the shape of spherical segment with a base radius of 150 m. The dome must contain a volume of 3500000 m³. Determine the height of the dome at its centre to the nearest tenth of a meter.
10. Is complex Are these numbers 2i, 4i, 2i + 1, 8i, 2i + 3, 4 + 7i, 8i, 8i + 4, 5i, 6i, 3i complex?
11. Imaginary numbers Find two imaginary numbers whose sum is a real number. How are the two imaginary numbers related? What is its sum?
12. Linear imaginary equation Given that ? "this is z star" Find the value of the complex number z.
13. Complex number coordinates Which coordinates show the location of -2+3i

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