D in one polar plane, plet the following points a.) (4, π/3) bi) (-3, - STT) d.) (21-77) 4 e) (-1.5, 311)

Q: Use the fact that 4 cos2(2π/5) + 2 cos(2π/5) -1 = 0 to prove thata regular pentagon is…

A: Given : 4cos22π/5+2cos2π/5-1=0 To prove: Regular pentagon is constructible .

Q: (08.01 MC) Given point M (6.-6√3), which is located on the rectangular coordinate plane, what are…

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Q: 2sin G0° - 3cos45°

A: SOLUTION-

Q: Find the polar coordinate for (-1, √3) where r>0 and 0≤Ø<2π

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Q: *#4.) In the diagram, mzJKM = 180° and KN bisects ZMKL. If MZMKN = (x2 +x)° and M2NKL = (3x+35)…

A: But from the given figure we can see that the angle MKL is an obtuse angle . Hence measure of angle…

Q: iv) in complex number z3. (7)? = |z|?. z

A: Complex number: A complex number has the form z=x+ιy, where x is called the real part and y is the…

Q: 5. Write the given number in the polar form 2+2i a) -√√3+i b) (1 + i)18

A: A detailed solution is given below.

Q: If a point has polar coordinates r = -5 and 0 = Select the correct answer below: 5 5√3 0 (-1, 51³) 2…

A: If a point has polar coordinates r=-5 and θ=4π3, then to determine the  Cartesian coordinates of the…

Q: Consider a triangle with vertices O, A and B, where O is the origin, OA-√3i+j and…

A: Consider a triangle with vertices O, A and B, where O is the origin,  and .(a) To show that triangle…

Q: 3. Express 4xi + 5yi° + óxi* + 2yi* in simplest a + bi form.

A: Given z=4xi+5yi8+6xi3+2yi4 To express Z in a + bi Form:

Q: The value of cos8n from the unit circle is

A: We have to find out where 8 π will lie in the unit circle to find out value of cos8π

Q: Express the following complex number in its polar form.

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Q: Q 1. If R is a complex number given as follows R=e +5Z a) Express R in Rectangular, Polar and…

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Q: Find the legend re polyromial of 1-24 Ca , E1,i7 Fx) = - 3 - 3 SinlTx) -I los () -E Cu Pn(x) %3D

A: Given fx=-3-3sinπx-cosπx2

Q: Express the result in trigonometry and rectangular form 1 43. (1 + V3i)6

A: D-Moivre's theorem: If z=reiθ, then it is a complex number. Then, zn=rn(cosnθ+isinnθ) where n is…

Q: Use the fact that 8 cos3(2π/7) + 4 cos2(2π/7) - 4 cos(2π/7) - 1 = 0to prove that a regular…

A: Given: 8cos32π7+4cos22π7-4cos2π7-1=0 To show: Regular  seven-sided polygon is not constructible with…

Q: a) Express (-√3+32) in the form rei, where (radians) lies in the second quadrant. Give your answer…

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Q: y = sin x 1 6. 6

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Q: c) Let k EN be odd, show that (1+i)2k + (1 – i)2k = 0 d) Using Demoivre's theorem, show that, if z =…

A: This Question Contains the multiple part.  For (b) we will use the principal of…

Q: 3. Write z = 12.2 - 31 in polar form. Use 3 decimal places.

A: The objective of the question is converting to polar form.

Q: 5) consider the ghaph of y = -2.5 sin (x-13,4°) -O6 5 a) Determine the coordinates of any point…

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Q: If A(x₁, y₁), B(x, y₂) and C(x3, 13) are the vertices of triangle ABC and x+y=x2 + y2 = x3 + y3,…

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Q: WWW 45. Convert the polar point (4, 5) to a Cartesian point. A. (-) B. (-) C. (2√3, 2) D. (-2,2√3)…

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Q: 6) (-2√2,2√2) 3 3√3 8) 2 10) (-2,-2√3)

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Q: 3. Evaluate LLA" (4- y2) dydx by using polar coordinates.

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