Questions on Algebra: Complex Numbers answered by real tutors!

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Question 1154166: Evaluate Sec 660degrees + Cot 405degrees without using a calculator. Please show steps thanks you!
Click here to see answer by MathLover1(20849)

Question 1155216: Use the midpoint formula method to find the equation of the perpendicular bisector of the line segment whose endpoints are (-2,3) and (-8, 1) . Write the equation in double intercept form please thanks!
Click here to see answer by ewatrrr(24785)

Question 1155811: Let z=a+bi. Discuss the values of a and b so that the following is true: z(3-i) is a pure imaginary number.
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Question 1155809: Let z=a + bi. Discuss the values of a and b so that the following is true: z (i) is a positive real number.
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Question 1155849: Express the complex numbers in standard form: (sqrt5-i*sqrt2)(sqrt5+i*sqrt2)
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Question 1155844: if f(z)=z^2-3z 3 is a complex function of the complex variable z, evaluate the quantity: f(-1)
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Question 1155843: if f(z)=z^2-3z 3 is a complex function of the complex variable z, evaluate the quantity: f(i)
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Question 1155848: if f(z)=z^2-3z+3 is a complex function of the complex variable z, evaluate the quantity: f(2+i)
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Question 1155847: if f(z)=z^2-3z+3 is a complex function of the complex variable z, evaluate the quantity: f(-1)
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Question 1155846: if f(z)=z^2-3z+3 is a complex function of the complex variable z, evaluate the quantity: f(i)
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Question 1155845: if f(z)=z^2-3z+3 is a complex function of the complex variable z, evaluate the quantity: f(-1+i)
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Question 1155850: Express the complex numbers in standard form: (pi-i)^2 + (pi+2i)^2
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Question 1155997: Solve , , , given that x, y, and z are complex numbers.
Thanks in advance.
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Question 1155997: Solve , , , given that x, y, and z are complex numbers.
Thanks in advance.
Click here to see answer by Edwin McCravy(20054)

Question 1156362: Sketch the set of complex numbers that satisfy |z|<6
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Question 1156361: Sketch the set of complex numbers that satisfy |z|=1
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Question 1156364: If w=-2+3i, find the complex conjugate of w.
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Question 1156363: If z=-1+i, find the complex conjugate
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Question 1156365: If z=-1+i, find z with line on top / |z|^2
Click here to see answer by Edwin McCravy(20054)

Question 1156532: State the complex conjugate and modulus of the complex number 2+9i
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Question 1156532: State the complex conjugate and modulus of the complex number 2+9i
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Question 1156533: State the complex conjugate and modulus of the complex number -i
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Question 1156533: State the complex conjugate and modulus of the complex number -i
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Question 1156531: If w=-2+3i and z=-1+i, find 2z/w
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Question 1156530: If w=-2+3i and z=-1+i, find wz
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Question 1156534: State the complex conjugate and modulus of the complex number 5
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Question 1156534: State the complex conjugate and modulus of the complex number 5
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Question 1156545: State the complex conjugate and the modulus of (3+2i)i
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Question 1156627: Find the first ten terms of the arithmetic series with first term 3 and common difference 5i.
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Question 1156628: Find all complex numbers z such that z^2=z with line on top or complex conjugate
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Question 1156777: i^2-16/i+4
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Question 1156972: The polynomial equation , where b and c are rational numbers, has as a root. It also has an integer root. What is it?
Click here to see answer by josgarithmetic(39613)

Question 1156971: Find the ordered pair (a,b) of real numbers for which has a non-real root whose cube is 343.
Click here to see answer by Edwin McCravy(20054)

Question 1157072:
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Question 1157653: A solution for z^3 + 2 + 2root3i = 0
1) 2^2/3(cos4pi/9 + i.sin 4pi/9)
2) 4^1/4(cos11pi/12 + i.sin11pi/12)
3) 2^2/3(cos 17pi/12 + i.sin17pi/12)
4) 4^1/3(cos7pi/6 + i.sin7pi/6)
5) 2^2/3(cos11pi/12 + i.sin 11pi/12)
Click here to see answer by greenestamps(13195)

Question 1157771: Convert the following polar coordinates to cartesian coordinates.
a) (3,5pi/6)
b) (1,pi/2)
c) (3,11pi/18)
d) (2,11pi/18)
Click here to see answer by Alan3354(69443)

Question 1157771: Convert the following polar coordinates to cartesian coordinates.
a) (3,5pi/6)
b) (1,pi/2)
c) (3,11pi/18)
d) (2,11pi/18)
Click here to see answer by Shin123(626)

Question 1157773: Write each cartesian equation in polar form
a) x^2 + y^2 = 16
b) x^2 + y^2 = 10
c) y = 3
d) y = -4x
e) 3xy = 5
Click here to see answer by MathLover1(20849)

Question 1157770: Convert the following cartesian coordinates to polar coordinates using radians.
a) (1,0)
b) (0,-4)
c) (3,-3)
d)(-1,2)
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Question 1157772: Write the following polar equations in Cartesian form.
a) = 7
b) θ = 4pi/3
c) θ = 7pi/4
d) r = cosθ

Click here to see answer by MathLover1(20849)

Question 1157906: The denominator of a fraction is two more than the numerator. If both numerator and denominator are increased by three, the simplified result is 19/20. Find the original fraction. (Do NOT simplify.)
Click here to see answer by josmiceli(19441)

Question 1158832: Solve that z^2=-5_12
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Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380