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CLEP General Mathematics: Complex Numbers
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CLEP General Mathematics: Complex Numbers
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25 Questions

1. I = imaginary unit - i² = -1 or i = v-1

2. Cos n? + i sin n? (for all n integers)

3. (2+i)(2i-3) you would use the foil methom which is first outter inner last. (2x2i)(2x-3)(ix2i^2)(ix(-3) =i-8

4. We see in this way that the distance between two points z and w in the complex plane is

5. When two complex numbers are divided.

6. Has exactly n roots by the fundamental theorem of algebra

7. No i

8. The reals are just the

9. When you add two complex numbers a + bi and c + di - you get the sum of the real parts and the sum of the imaginary parts: (a + bi) + (c + di) = (a + c) + (b + d)i

10. A number that can be expressed as a fraction p/q where q is not equal to 0.

11. I^2 =

12. ½(e^(-y) +e^(y)) = cosh y

13. 1

14. y / r

15. Written as fractions - terminating + repeating decimals

16. x + iy = r(cos? + isin?) = re^(i?)

17. All numbers

18. When two complex numbers are multipiled together.

19. Equivalent to an Imaginary Unit.

20. A+bi

21. The field of all rational and irrational numbers.

22. ½(e^(iz) + e^(-iz))

23. Root negative - has letter i

24. z1z2* / |z2|²

25. If z= a+bi is a complex number and a and b are real - we say that a is the real part of z and that b is the imaginary part of z