Use de Moivre's Theorem to find the following. Write your answer in standard form. (1 -...
Use De Moivre's Theorem to find the followings. Write your answers in rectangular form. a. [15 (cose + 1sin 91 b. (V2 cis 12° )
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
2. (a) Use Proposition 10.3.1: Polar Multiplication in C (PMC) along with Theorem 10.4.1: De Moivre's Theorem (DMT) to compute (V3 - 1)20 (1 - 1)30 - Present your answer in two forms, namely standard and polar. (b) Compute the standard form and the absolute value of the number where a = arctan (2). 2 = 5 cos a+isin a'
Chi940 Test 9 Use De Moivre's Theorem to write [3(cos 80° + i sin 80°)] in arbi form where a and b exact values, are
d&e&f 2) Using De Moivre's theorem to solve the following equation and represent the roots on the diagram. x4 + 16 = 0
- 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
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)
Use de Moivre's formula to evaluate the power (cos2+i sin2)-1 in Cartesian form. Of these multiple choice, which is correct? A.) cos 2 - i sin 2 B.) C.) D.) E.) cos 2 + i sin 2 We were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this image
8. a) Write the complex number -2 -2in trigonometry form. Be sure to graph when looking for 0. (No decimal answer) b) use the result from a) and De Moivre's theorem the find (-2-21) (No decimal answer) ular ordinata hroniart 2 2-Anlar Alation
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)...