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Divide. Leave your answer in trigonometric form. Divide. Leave your answer in trigonometric form.

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Graph the equation using your graphing calculator in polar mode. Graph the equation using your graphing calculator in polar mode.   ​ A) ​   B) ​ ​   C) ​ ​   D) ​​   E) ​ ​


A) ​ Graph the equation using your graphing calculator in polar mode.   ​ A) ​   B) ​ ​   C) ​ ​   D) ​​   E) ​ ​
B) ​ ​ Graph the equation using your graphing calculator in polar mode.   ​ A) ​   B) ​ ​   C) ​ ​   D) ​​   E) ​ ​
C) ​ ​ Graph the equation using your graphing calculator in polar mode.   ​ A) ​   B) ​ ​   C) ​ ​   D) ​​   E) ​ ​
D) ​​ Graph the equation using your graphing calculator in polar mode.   ​ A) ​   B) ​ ​   C) ​ ​   D) ​​   E) ​ ​
E) ​ ​ Graph the equation using your graphing calculator in polar mode.   ​ A) ​   B) ​ ​   C) ​ ​   D) ​​   E) ​ ​

F) D) and E)
G) A) and E)

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Graph the equation. r = 5 ​


A) Graph the equation. r = 5 ​ A)    B)    C) ​   D)    E)
B) Graph the equation. r = 5 ​ A)    B)    C) ​   D)    E)
C) ​ Graph the equation. r = 5 ​ A)    B)    C) ​   D)    E)
D) Graph the equation. r = 5 ​ A)    B)    C) ​   D)    E)
E) Graph the equation. r = 5 ​ A)    B)    C) ​   D)    E)

F) B) and C)
G) A) and C)

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Graph the ordered pair on a polar coordinate system. Graph the ordered pair on a polar coordinate system.   ​ A) ​   B) ​   C) ​   D) ​   E) ​


A) ​ Graph the ordered pair on a polar coordinate system.   ​ A) ​   B) ​   C) ​   D) ​   E) ​
B) ​ Graph the ordered pair on a polar coordinate system.   ​ A) ​   B) ​   C) ​   D) ​   E) ​
C) ​ Graph the ordered pair on a polar coordinate system.   ​ A) ​   B) ​   C) ​   D) ​   E) ​
D) ​ Graph the ordered pair on a polar coordinate system.   ​ A) ​   B) ​   C) ​   D) ​   E) ​
E) ​ Graph the ordered pair on a polar coordinate system.   ​ A) ​   B) ​   C) ​   D) ​   E) ​

F) C) and D)
G) B) and D)

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Combine the complex numbers. Combine the complex numbers.   ​ A) ​   B) ​   C) ​   D) ​   E) ​


A) ​ Combine the complex numbers.   ​ A) ​   B) ​   C) ​   D) ​   E) ​
B) ​ Combine the complex numbers.   ​ A) ​   B) ​   C) ​   D) ​   E) ​
C) ​ Combine the complex numbers.   ​ A) ​   B) ​   C) ​   D) ​   E) ​
D) ​ Combine the complex numbers.   ​ A) ​   B) ​   C) ​   D) ​   E) ​
E) ​ Combine the complex numbers.   ​ A) ​   B) ​   C) ​   D) ​   E) ​

F) None of the above
G) A) and E)

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Is Is    a solution to the equation   ? ​ A) no B) yes  a solution to the equation Is    a solution to the equation   ? ​ A) no B) yes ? ​


A) no
B) yes

C) A) and B)
D) undefined

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DeMoivre's Theorem can be used to find reciprocals of complex numbers. Recall from algebra that the reciprocal of x is DeMoivre's Theorem can be used to find reciprocals of complex numbers. Recall from algebra that the reciprocal of x is   , which can be expressed as   Use this fact, along with DeMoivre's Theorem, to find the reciprocal of the number below.  , which can be expressed as DeMoivre's Theorem can be used to find reciprocals of complex numbers. Recall from algebra that the reciprocal of x is   , which can be expressed as   Use this fact, along with DeMoivre's Theorem, to find the reciprocal of the number below.  Use this fact, along with DeMoivre's Theorem, to find the reciprocal of the number below. DeMoivre's Theorem can be used to find reciprocals of complex numbers. Recall from algebra that the reciprocal of x is   , which can be expressed as   Use this fact, along with DeMoivre's Theorem, to find the reciprocal of the number below.

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Find the product Find the product    in standard form.   ​ A) ​   B) ​   C) ​   D) ​   E)    in standard form. Find the product    in standard form.   ​ A) ​   B) ​   C) ​   D) ​   E)


A) ​ Find the product    in standard form.   ​ A) ​   B) ​   C) ​   D) ​   E)
B) ​ Find the product    in standard form.   ​ A) ​   B) ​   C) ​   D) ​   E)
C) ​ Find the product    in standard form.   ​ A) ​   B) ​   C) ​   D) ​   E)
D) ​ Find the product    in standard form.   ​ A) ​   B) ​   C) ​   D) ​   E)
E) Find the product    in standard form.   ​ A) ​   B) ​   C) ​   D) ​   E)

F) A) and E)
G) A) and B)

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Solve the equation. Leave your solution in trigonometric form. Solve the equation. Leave your solution in trigonometric form.   ​ A)    B)    C)    D)    E)


A) Solve the equation. Leave your solution in trigonometric form.   ​ A)    B)    C)    D)    E)
B) Solve the equation. Leave your solution in trigonometric form.   ​ A)    B)    C)    D)    E)
C) Solve the equation. Leave your solution in trigonometric form.   ​ A)    B)    C)    D)    E)
D) Solve the equation. Leave your solution in trigonometric form.   ​ A)    B)    C)    D)    E)
E) Solve the equation. Leave your solution in trigonometric form.   ​ A)    B)    C)    D)    E)

F) A) and E)
G) A) and D)

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Find two square roots for the complex number. Write your answer in standard form. Find two square roots for the complex number. Write your answer in standard form.

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Write the complex number in trigonometric form. Begin by sketching the graph to help find the argument θ . Write the complex number in trigonometric form. Begin by sketching the graph to help find the argument θ .   ​ A)    B) ​   C) ​   D) ​   E) ​


A) Write the complex number in trigonometric form. Begin by sketching the graph to help find the argument θ .   ​ A)    B) ​   C) ​   D) ​   E) ​
B) ​ Write the complex number in trigonometric form. Begin by sketching the graph to help find the argument θ .   ​ A)    B) ​   C) ​   D) ​   E) ​
C) ​ Write the complex number in trigonometric form. Begin by sketching the graph to help find the argument θ .   ​ A)    B) ​   C) ​   D) ​   E) ​
D) ​ Write the complex number in trigonometric form. Begin by sketching the graph to help find the argument θ .   ​ A)    B) ​   C) ​   D) ​   E) ​
E) ​ Write the complex number in trigonometric form. Begin by sketching the graph to help find the argument θ .   ​ A)    B) ​   C) ​   D) ​   E) ​

F) A) and C)
G) B) and E)

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Write Write    and    in trigonometric form and find their product. ​   ​ A) ​   B)    C) ​   D) ​   E) ​   and Write    and    in trigonometric form and find their product. ​   ​ A) ​   B)    C) ​   D) ​   E) ​   in trigonometric form and find their product. ​ Write    and    in trigonometric form and find their product. ​   ​ A) ​   B)    C) ​   D) ​   E) ​


A) ​ Write    and    in trigonometric form and find their product. ​   ​ A) ​   B)    C) ​   D) ​   E) ​
B) Write    and    in trigonometric form and find their product. ​   ​ A) ​   B)    C) ​   D) ​   E) ​
C) ​ Write    and    in trigonometric form and find their product. ​   ​ A) ​   B)    C) ​   D) ​   E) ​
D) ​ Write    and    in trigonometric form and find their product. ​   ​ A) ​   B)    C) ​   D) ​   E) ​
E) ​ Write    and    in trigonometric form and find their product. ​   ​ A) ​   B)    C) ​   D) ​   E) ​

F) A) and E)
G) A) and D)

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Find the quotient. Write the answer in standard form for complex numbers. Find the quotient. Write the answer in standard form for complex numbers.

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Let Let    and    and find   .   and Let    and    and find   .   and find Let    and    and find   .  . Let    and    and find   .

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Use your graphing calculator to convert the complex number to trigonometric form. Round the angle to the nearest hundredth of a degree. Use your graphing calculator to convert the complex number to trigonometric form. Round the angle to the nearest hundredth of a degree.   ​ A)    B) ​   C) ​   D) ​   E) ​


A) Use your graphing calculator to convert the complex number to trigonometric form. Round the angle to the nearest hundredth of a degree.   ​ A)    B) ​   C) ​   D) ​   E) ​
B) ​ Use your graphing calculator to convert the complex number to trigonometric form. Round the angle to the nearest hundredth of a degree.   ​ A)    B) ​   C) ​   D) ​   E) ​
C) ​ Use your graphing calculator to convert the complex number to trigonometric form. Round the angle to the nearest hundredth of a degree.   ​ A)    B) ​   C) ​   D) ​   E) ​
D) ​ Use your graphing calculator to convert the complex number to trigonometric form. Round the angle to the nearest hundredth of a degree.   ​ A)    B) ​   C) ​   D) ​   E) ​
E) ​ Use your graphing calculator to convert the complex number to trigonometric form. Round the angle to the nearest hundredth of a degree.   ​ A)    B) ​   C) ​   D) ​   E) ​

F) B) and E)
G) C) and D)

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Write Write    and    in trigonometric form and then find their quotient. ​   ​ A) ​   B) ​   C) ​   D)    E) ​   and Write    and    in trigonometric form and then find their quotient. ​   ​ A) ​   B) ​   C) ​   D)    E) ​   in trigonometric form and then find their quotient. ​ Write    and    in trigonometric form and then find their quotient. ​   ​ A) ​   B) ​   C) ​   D)    E) ​


A) ​ Write    and    in trigonometric form and then find their quotient. ​   ​ A) ​   B) ​   C) ​   D)    E) ​
B) ​ Write    and    in trigonometric form and then find their quotient. ​   ​ A) ​   B) ​   C) ​   D)    E) ​
C) ​ Write    and    in trigonometric form and then find their quotient. ​   ​ A) ​   B) ​   C) ​   D)    E) ​
D) Write    and    in trigonometric form and then find their quotient. ​   ​ A) ​   B) ​   C) ​   D)    E) ​
E) ​ Write    and    in trigonometric form and then find their quotient. ​   ​ A) ​   B) ​   C) ​   D)    E) ​

F) A) and E)
G) A) and B)

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Convert to rectangular coordinates. Use exact values. Convert to rectangular coordinates. Use exact values.   ​ A)    B) ​   C)    D)    E)


A) Convert to rectangular coordinates. Use exact values.   ​ A)    B) ​   C)    D)    E)
B) ​ Convert to rectangular coordinates. Use exact values.   ​ A)    B) ​   C)    D)    E)
C) Convert to rectangular coordinates. Use exact values.   ​ A)    B) ​   C)    D)    E)
D) Convert to rectangular coordinates. Use exact values.   ​ A)    B) ​   C)    D)    E)
E) Convert to rectangular coordinates. Use exact values.   ​ A)    B) ​   C)    D)    E)

F) A) and C)
G) B) and C)

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Combine the complex numbers. Combine the complex numbers.

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Find two square roots for the complex number. Write your answer in standard form. Find two square roots for the complex number. Write your answer in standard form.   ​ A)    B)    C)    D)    E)


A) Find two square roots for the complex number. Write your answer in standard form.   ​ A)    B)    C)    D)    E)
B) Find two square roots for the complex number. Write your answer in standard form.   ​ A)    B)    C)    D)    E)
C) Find two square roots for the complex number. Write your answer in standard form.   ​ A)    B)    C)    D)    E)
D) Find two square roots for the complex number. Write your answer in standard form.   ​ A)    B)    C)    D)    E)
E) Find two square roots for the complex number. Write your answer in standard form.   ​ A)    B)    C)    D)    E)

F) D) and E)
G) B) and D)

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Find x and y (real numbers) so that the equation is true. Find x and y (real numbers) so that the equation is true.   ​ A) ​   B) ​   C) ​   D) ​   E)


A) ​ Find x and y (real numbers) so that the equation is true.   ​ A) ​   B) ​   C) ​   D) ​   E)
B) ​ Find x and y (real numbers) so that the equation is true.   ​ A) ​   B) ​   C) ​   D) ​   E)
C) ​ Find x and y (real numbers) so that the equation is true.   ​ A) ​   B) ​   C) ​   D) ​   E)
D) ​ Find x and y (real numbers) so that the equation is true.   ​ A) ​   B) ​   C) ​   D) ​   E)
E) Find x and y (real numbers) so that the equation is true.   ​ A) ​   B) ​   C) ​   D) ​   E)

F) A) and B)
G) D) and E)

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