Complex numbers 1. Which among the options in column A is equivalent to 2(a + bi)? 2. Which is equivalent to ln(a + bi)? 3. sin (a + bi) = ? 4. 2i = ? 5. xi = ? 6. ii = ? 7. 0i = ? 8. What is the value of w if: w/x=2<180∘ w + y = -5 + 15i y is a conjugate of x 9. (40e^i120∘)+20<(−40∘)+26.46+0i= ? 10. What is the 5th root of 50[cos(150o)+ isin(150o) ?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Complex numbers

1. Which among the options in column A is equivalent to 2(a + bi)?

2. Which is equivalent to ln(a + bi)?

3. sin (a + bi) = ?

4. 2i = ?

5. xi = ?

6. ii = ?

7. 0i = ?

8. What is the value of w if:

w/x=2<180∘

w + y = -5 + 15i

y is a conjugate of x

9. (40e^i120∘)+20<(−40∘)+26.46+0i= ?

10. What is the 5th root of 50[cos(150o)+ isin(150o?

 
 
A. 1.3 + 1.4i
B. 30.8<45°
C. 1+ 0.01i
D. 2° cos(0.69b) +1 2° sin(0.69b)
E. cos(Inx) + isin(Inx)
F. exe
G. 1.9 + 1.1i
H. 10i – 10
I. In(r) + ie
J. Sin(a) cosh(b) + icos(a) sinh(b)
K. 0.2 + Oi
L. Undefined
Transcribed Image Text:A. 1.3 + 1.4i B. 30.8<45° C. 1+ 0.01i D. 2° cos(0.69b) +1 2° sin(0.69b) E. cos(Inx) + isin(Inx) F. exe G. 1.9 + 1.1i H. 10i – 10 I. In(r) + ie J. Sin(a) cosh(b) + icos(a) sinh(b) K. 0.2 + Oi L. Undefined
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