Write each of the given numbers in the form a + bi: a. 6e-i/3 +-5.1961524i, -5e...
Perform the indicated operation and write the answer in the form a +bi, where a and b are real numbers. 28) (6-5i)(7 +3i) A) -15;2 - 171 +42 B) 57 - 171 C) 27 - 531 D) 57 +171 Write the quotient in the form a +bi. 9 +41 29) 2-4i B) -1.4, C) -1 5 Use De Moivre's theorem to simplify the expression. Write the answer in a +bi form. 30) (3 (cos 120° + i sin 120°))4 A)...
Write the complex number in the form a + bi. 5) Vocos 315º + i sin 3159) 5) Perform the indicated operation. Write the answer in the form a +bi. 8(cos i sin 6) 3(cos + i sin 7) Draw a picture and label all the parts. Solve the triangle for the 3 missing parts. 7) a-8.3 b - 13.8 c=15.7 Also ...Give me the area:
write each complex number in standard form a+bi, and plot each in the complex plane - 2 (cos 150° + i sin 150°) N D.
Find the following product, and write the product in rectangular form. [4( cos 60° + i sin 60°)][3( cos 30° + i sin 30°)] [4( cos 60° + i sin 60°)][3( cos 30° + i sin 30°)] = | (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression. Type your answer in the form a + bi.)
(1 point) Write each of the given numbers in the polar form relo, -1 < a <a. ,0 = 1.124355 , r = sqrt(65)/2 (b) – 48(6+ iv2) r= (c) (1 + i)? r= 11.313 ,0 =
(1 point) Write each of the given numbers in the polar form re',-a <O<n. s= (b) – 31(2 + iv3) p= ,0= (C) (1+i)4 p=
Write each of the given numbers in the polar form re^(i(theta)), -pi < theta less than or equal to pi a) (cos(-2pi/9)+isin(-2pi/9))^3 r=? theta=? b) (2-2i)/(-sqrt(3)+i) r=? theta=? c) 2i/(3e^(8+i)) r=? theta=? Sqrt= square root
6. Multiply the complex numbers, write the product in the form a + bi a. (5 + 3i)(5-3i) b. (5 + 2i)(7-1)
3. Write in a+bi form (do not use decimal approximations). (a) exp(-1+i/3) (b) tani (d) Log(1 - i) (e) Log(-i) (c) cosh(1 - i) (f) Log(3+i)
A complex number is a number of the form a + bi, where a and b are real numbers √ and i is −1. The numbers a and b are known as the real and the imaginary parts, respectively, of the complex number. The operations addition, subtraction, multiplication, and division for complex num- bers are defined as follows: (a+bi)+(c+di) = (a+c)+(b+d)i (a+bi)−(c+di) = (a−c)+(b−d)i (a + bi) ∗ (c + di) = (ac − bd) + (bc + ad)i (a...