3. 65. r = -2 66. r= sin 0 Cos e 67. r 3 sec 0 68. r = 2 csc 0 69. r = 5 70. r= -3 71. 0 72. 0 = 0 4. oordi- 73. r = 74. r = 1 1 - sin 0 For each rectangular equation, write an equiva equation. 76. у 3 — 75. х 3 4 78. y = > %3D 77. y = -x 80. y %3D 79. x2 = 4y 82. 2x? 81. x² + y = 4 %3D

Q: Answer the following questions. You must show all your work. 1) Convert the point (2,-1) from…

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Q: Ex: convert Polar equation to Cartesian equation ? 2 r² Sin 20=2

A: First write cartesian coordinates as,x = r cos (theta) , y = r sin(theta).

Q: Simplify in polar form (sin 0 + i cos 0)¬n Explain your reasoning.

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Q: Cannot solve

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Q: What can be done to the negative sign of the magnitude in polar form?

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Q: What is a polar equation?

A: Polar equation is an equation that gives the relationship between r and θ, where r is the distance…

Q: Describe how to graph a polar equation.

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Q: Find the polar equation of 3x2=4-3y2

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Q: Question 3 > Rewrite the polar equation 5 sin(0) as a Cartesian equation.

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Q: 18) Convert the equation to polar form (and solve for "r"): 2x2 + 2y + 12x - 9y = 0 %3D

A: 2x2+2y2+12x-9y=0

Q: How do we graph a polar equation?

A: To draw the graph of a polar equation, find the symmetry of the given equation. Test the symmetry…

Q: If an equation fails the test for symmetry with respect to the polar axis, what can you conclude?

A: The equation has failed the symmetry test, but that does not mean that it is not symmetric with…

Q: Find (-1+ i)"and write the answer in exact polar form and rectangular form.

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Q: Explain how to convert a point from polar to rectangular coordinates. Provide an example with your…

A: Consider A is any point and let the coordinates of point A in the polar form are Ar, θ and its…

Q: Convert the equation y = x^-2 into a polar equation.   I'm getting confused on the inverse…

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