a)
- 2 - 2i
r = sqrt [ x^2 + y^2 ]
r= sqrt [ -2^2 + - 2^2 ]
r = 2 sqrt 2
Theta = tan^-1 ( - 2/-2) = pi/4
Trigonometric form is
b)
( - 2 - 2i )^8
= (2 sqrt 2)^8 ( cos 8 pi/4 + i sin 8pi/4 )
4096 ( 1 )
= 4096
(-2-2i)^8 = 4096 |
8. a) Write the complex number -2 -2in trigonometry form. Be sure to graph when looking...
8. a) Write the complex number-2-2i in trigonometry form. Be sure to graph when looking for. (No decimal answer) b) use the result from a) and De Moivre's theorem the find (-2-21) (No decimal answer)
- a) Write the complex number -2 -2i in trigonometry form. Be sure to graph when looking for . (No b) use the result from a) and De Moivre's theorem the find (-2 - 2i) (No decimal answer
6-7. Given vectors U = -41 +12). V = 5i - 21,W=-31 - 1 6. Find a) 30 - 5.b) |2V - WI 7. a) U. W What can you tell from the result? b) angle between U and keep one digit after decimal, calculator ok) 8. a) Write the complex number -2 -21 in trigonometry form. Be sure to graph when looking for O. (No decimal answer) b) use the result from a) and De Moivre's theorem the find...
in the form a + b a) Express the number (3) b) Use the De Moivre's theorem to find (1/2+1/20) (5) c) Find the six sixth roots of -8(ie. find V-B ) and graph these roots in the complex plane (.e. polygonal representation) (8) d) Evaluate i)e". ) ef-1**/2) (write your answer in the form 4+) (4) 201
Find all solutions to the equation x' +27 = 0 over the Complex Numbers. Do all parts (a)-(d): (a) Graph complex number -27+0.i as a vector in trigonometric form (b) Use De Moivre's Theorem to find one cube root of -27 (c) Graph all three solutions as vectors (in trigonometric form) on the xy-plane (d) Lastly, convert each solution from trigonometric form reise to standard form a +bi
Find all solutions to the equation x' +27 = 0 over the Complex Numbers. Do all parts (a)-(d): (a) Graph complex number -27+0.i as a vector in trigonometric form (b) Use De Moivre's Theorem to find one cube root of -27 (c) Graph all three solutions as vectors (in trigonometric form) on the xy-plane (d) Lastly, convert each solution from trigonometric form reise to standard form a +bi
Plot the complex number on the complex plane and write it in polar form and in exponential form. 3-41 Plot the complex number on the complex plane. Write the complex number 3 - 4 i in polar form. Select the correct choice below and fill in the answer box(es) within your choice. (Simplify your answer. Type an exact answer for r, using radicals as needed. Type any angle measures in radians, rounding to three decimal places as needed. Use angle...
can I get the answer ever each steps Find all solutions to the equation x' +27 = 0 over the Complex Numbers. Do all parts (a)-(d): (a) Graph complex number -27+0.i as a vector in trigonometric form (b) Use De Moivre's Theorem to find one cube root of -27 (c) Graph all three solutions as vectors (in trigonometric form) on the xy-plane (d) Lastly, convert each solution from trigonometric form reise to standard form a +bi
Use DeMoivre's Theorem to find the indicated power of the complex number. Write the result in standard form. (Round terms to four decimal places.) [2(cos 10° + i sin 109)
can I get details pls Find all solutions to the equation x' +27 = 0 over the Complex Numbers. Do all parts (a)-(d): (a) Graph complex number -27+0.i as a vector in trigonometric form (b) Use De Moivre's Theorem to find one cube root of -27 (c) Graph all three solutions as vectors (in trigonometric form) on the xy-plane (d) Lastly, convert each solution from trigonometric form reise to standard form a +bi