Solution:
Using formula,
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Given 21 = -5(cos(127') + i sin(127)) 22 = 8(cos(8") + sin(8')) Find the product Z122....
COV 8. (a) Find the product [8(cos 300° + i sin 300°][5(cos 120° + i sir rectangular form. [3 pts] Express your answer in (b) Find all cube roots of the complex number cos 90° + i sin 90°. Then graph each cube root as a vector in the complex plane. [4 pts]
Find the product z1z2 and the quotient 21. Express your answers in polar form. 22 21 = 5 cos = 5(cos(1) + i sin()). 22 = 8(cos(65) + i sin (75)) 2122 = Z1 Z2
Express the product of 21 and 22 in standard form given that: z1 = 14 (cos(x) + i sin(a)] and z2 = 2/2 (cos(3) + i sin(*)] 23.275 - 32.035 32.035 - 23.275i 32.035 +23.275i • 23.275 + 32.035i
5 and 6
5. -/2.38 points Salg Trig4 8.T.005. Let Z1 = 2 ( cos(77) + i sin(79)) and 22 = 7(cos(54) + i sin(5). Find Z222 and 1(Enter your answers in a + bi form.) Z122 = 6. -/2.38 points SAlg Trig4 8.1.006. Find the cube roots of 1256. (Enter your answers as a comma separated list.) Sketch these roots in the complex plane.
(a) (5pt) Given v# <-9, 9-3 > , find the magnitude and direction angle of vector v. (b) (5pt) Find the exact value of the product and write the result in a + ib form 8(cos(285) + i sin (285'))5 (cos(30) + i sin(30)) 5.
(a) (5pt) Given v# , find the magnitude and direction angle of vector v. (b) (5pt) Find the exact value of the product and write the result in a + ib form 8(cos(285) + i...
Find i, using superposition: 0.25 F 2H 22 IH non 8 sin (21 + 30°) V : - 0 cos 2 A
Supposez1 =4 cos 3 +isin 3 andz2 =2 cos 6 +isin 6 .
Computez1z2.
(a) 8(cos?π?+isin?π?) 22
(b) 4(cos?4π?+isin?4π?) 66
(c) 2(cos?π?+isin?π?) 66
(d) cos(π)+isin(π)
(e) 8(cos?π?+isin?π?)
66
17. Suppose z1 = 4 (cos (1) + i sin (5)) and z2 = 2 (cos () + i sin (7)). Compute z122. (a) 8(cos (7) + i sin (7)) (b) 4(cos (4) + i sin (*)) (c) 2(cos (7) + i sin ()) (d) cos(T) + i sin(TT) (e) 8(cos (7)...
use the info. given below to find sin(a-b)
cos a= 5/13, with a in quadrant IV
cos b= -5/13, with b in quadrant III
O TRIGONOMETRIC IDENTITIES AND EQUATIONS Sum and difference identities: Problem type 3 Use the information given below to find sin(a - b). COS 7 5 with a in quadrant IV 13 5 with B in quadrant III 13 cos B 1 Give the exact answer, not a decimal approximation. sin (a - b) = 0 8...
Multiply and leave the answer in trigonometric notation. 6.5( cos 34° + i sin 34°)•5.5( cos 27° + i sin 27°). 6.5( cos 34° + i sin 34°)•5.5( cos 27° + i sin 27°)= (Type integers or decimals.) (cos 1° + i sin º) Find standard notation, a +bi. 6( cos (120°) + i sin (120°)) 6( cos (120°) + i sin (120°)) = (Type your answer in the form a + bi. Type an exact answer, using radicals as...
5. B My Not -12.38 points SAlgTrig4 8.1.005. Let Z1 = 9(cos(70) + i sin(3) and 22 - 5(cos(57) + i sin(58). Find 2122 and 21. (Enter your answers in a + by form.) 2122 -