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Solved Examples
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 D   Find the indicated power of [7(cosθ2-i sinθ2)]14.   D View Solution
 D   Find (cos θ + i sin θ)7.   D View Solution
 D   Evaluate [8(cos 30° + i sin 30°)]2.   D View Solution
 D   Simplify [8(cos 20° + i sin 20°)]6.   D View Solution
 D   Simplify 4(cos 3θ - i sin 3θ)7.   D View Solution
 D   Simplify: (cos 10π13 - i sin 10π13)13   D View Solution
 D   Change the rectangular coordinates P (3, - 4) to polar coordinates.   D View Solution
 D   Change the rectangular coordinates P (0, 5) to polar coordinates.   D View Solution
 D   Find (cos θ + i sin θ)3.   D View Solution
 D   Evaluate [4(cos 30° + i sin 30°)]2.   D View Solution
 D   Simplify [6(cos 20° + i sin 20°)]6.   D View Solution
 D   Simplify 3(cos 5θ + i sin 5θ)8.   D View Solution
 D   Simplify: (cos 4π7 + i sin 4π7)7   D View Solution
 D   Using De Moivre's theorem, write (1 - i)4 in the form of a + ib.   D View Solution
 D   Using De Moivre's theorem, express (3 + i)6 in the standard form a + i b.   D View Solution
 D   Simplify: (- 2 + i)5   D View Solution
 D   Find the indicated power of the complex number in standard form a + ib. (12+32 i)12    D View Solution
 D   Find the indicated power of [5(cosθ2-i sinθ2)]10.   D View Solution
 D   Simplify: (cos 30o - i sin 30o)7   D View Solution
 D   Simplify: cos 3θ + i sin 3θcos θ + i sin θ   D View Solution
 D   Simplify: (cos 2θ + i sin 2θ)3(cos 3θ + i sin 3θ)2   D View Solution
 D   Find the indicated power of [3(cos 10°+ i sin 10°)]9.   D View Solution
 D   (2cosπ12+2i sinπ12)8 =   D View Solution
 D   (cosπ5 + i sinπ5)20 =   D View Solution
 D   Use De Moivre's theorem to express (1 + i)10 in the standard form a + ib.   D View Solution
 D   Find (1 - 2i)8 using De Moivre's theorem.    D View Solution
 D   Find [1 - i2]5 using De Moivre's theorem.   D View Solution
 D   If Z = 3(cos π4 + i sin π4) and W = 2(cos π2 + i sin π2), then find ZW .   D View Solution
 D   If Z = 2(cos 4θ + i sin 4θ) and W = (cos θ2 + i sin θ2), then find ZW.   D View Solution
 D   If Z1 =3 + i and Z2 = 1 + i, then find the product of Z1Z2.   D View Solution
 D   If Z1 = 8[cos π2 + i sin π2] and Z2 = 2[cos π4 + i sin π4], then find the value of z1z2.   D View Solution
 D   Simplify: (cos θ+ i sin θ)6cos 3θ+i sin 3θ   D View Solution
 D   If Z1 = 2(cos 3θ+i sin 3θ) and Z2 = 12(cos θ+i sin θ), then find the value of Z1Z2.   D View Solution
 D   Find the cube roots of (1 + i).   D View Solution
 D   Find the cube roots of - 27.   D View Solution
 D   Find the fourth roots of 81(cos 240o + i sin 240o).   D View Solution
 D   Find the fourth roots of 2 - 23i.   D View Solution
 D   Change the rectangular coordinates A (2, 3) to polar coordinates.   D View Solution
 D   Change the polar coordinates P(4, 45°) to rectangular coordinates.   D View Solution
 D   Change the polar coordinates P (- 4, 60°) to rectangular coordinates.   D View Solution
 D   Change the polar coordinates A (6, 150°) to rectangular coordinates.   D View Solution
 ee  Change the polar coordinates B (8, - 330°) to rectangular coordinates.  ee View Solution
 ee  Change the rectangular coordinates B (- 3, 1) to polar coordinates.  ee View Solution
 ee  Change the polar coordinates P (- 3, 240°) to rectangular coordinates.  ee View Solution
 ee  Change the rectangular coordinates Q (- 3, 0) to polar coordinates.  ee View Solution
 ee  Change the polar coordinates Q (- 3, - 270°) to rectangular coordinates.  ee View Solution
 ee  Express in polar form: 2 - 3i  ee View Solution
 ee  Express the complex number - 5 + 5i in polar form.  ee View Solution
 ee  Express in polar form: -1  ee View Solution
 ee  Express the complex number 3i in polar form.  ee View Solution
 ee  Express the complex number 2 + i in polar form.  ee View Solution
 ee  Express the complex number - 3 + 2i in polar form.  ee View Solution
 ee  Express in polar form 12 + (32)i.  ee View Solution
 ee  If n is a positive integer, then find the value of (1+ cos α + i sin α)n.  ee View Solution
 ee  Change the rectangular coordinates A (- 5, - 53) to polar coordinates.  ee View Solution
 ee  Express in standard form (cos 60° + i sin 60°).  ee View Solution
 ee  Express - 2(cos 150° + i sin 150°) in standard form.  ee View Solution
 ee  Express cos 10° + i sin 10° in standard form.  ee View Solution
 ee  Express 0.3(cos 174° + i sin 174°) in standard form.  ee View Solution
 ee  Express 2[cos (- 60°) + i sin (- 60°)] in standard form.  ee View Solution
 ee  What is the argument of the complex number 2 - i2?  ee View Solution
 ee  If 2cos θ = a + 1a and 2cos j = b + 1b, then find the value of cos (θ - j).  ee View Solution
 ee  Given that |z| = 4 and arg z = 5π6 then z = ________  ee View Solution
 ee  Express in polar form the roots of x5 - 32 = 0 which when graphed would be a vector in the second quadrant.  ee View Solution
 ee  If x + 1x = 2cos π18, then find the value of x9+1x9.  ee View Solution