If - (7/√2) - (7/√2)i is written in the polar form r (cos θ + i sin θ), what are the values of r and θ?

Q: Convert each of the given pair of rectangular coordinates to a pair of polar coordinates (r, theta)…

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Q: Express y in terms of x if the inverse sine of x is equal to the inverse tan of y.

A: Given sin-1x=tan-1y.  Assume θ=sin-1x so sinθ=x. Therefore using identity sin2θ+cos2θ=1:…

Q: Find the intersections and symmetry for the polar equation r sine and then draw it.

A: Any point on the Cartesian coordinate system is represented by the ordered pair: x, y. Any point on…

Q: Write down the complex number 1 + V3i in polar form. (Hint: notice that cos (중) -글)

A: The polar form of a complex number a+bi is r(cosθ+isinθ) where r is the absolute length of the…

Q: Let be the angle between u and v. Find cos(0). cos(0) = u = [6, 5, -1], v = [1,-1, 1] Determine…

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Q: Convert the following equation from polar to Cartesian r= cose-sine Gnd Lat

A: Given:      r = 5 / (cos θ - sin θ)

Q: the rectangular equation if r = 4 cos 0 + 4 sin 0

A: Given query is is to find the rectangular equation.

Q: Simplify the expression (1 - i)(√3+i) (1 + i)(√3-i) and express your answer in polar form where r> 0…

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Q: Determine the value of theta in sin(4theta+2°)csc(3theta+5°) =1

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Q: Perform the indicated operation: 10 [ cos (18°) + i sin (18°) ] / 11 [ cos (63°) + i sin (63°) ]…

A: given complex numbers, Z1= 10 [cos(18) + isin(18)] Z2 = 11 [cos(63) + isin(63)] here we need to…

Q: Solve for θ : (cos θ + i sin θ) (cos 2θ + i sin 2θ) …. (cos nθ + i sin nθ) = i

A: We have to solve for θ: (cos θ + i sin θ) (cos 2θ + i sin 2θ) …. (cos nθ + i sin nθ) = i Then we…

Q: (sin0 +icoso) (cos0 +isino) A. Simplify the polar complex form: to the complex form: sin A0+i cos AO

A: Given, z=sinθ+icosθ4cosθ+isinθ6 from euler's equation eiθ=cosθ+isinθ derivate both side…

Q: B- Find the intersections and symmetry for the polar equation r sine = 1 and then draw it.

A: Introduction: The intersections of a curve are mainly the point where the curve intersects the…