Exam 8: Complex Numbers and Polar Coordinates

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Multiply. Leave the answer in trigonometric form. Multiply. Leave the answer in trigonometric form.

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Find two square roots for the complex number. Leave your answers in trigonometric form. Find two square roots for the complex number. Leave your answers in trigonometric form.   ​ ​ ​ ​

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Use DeMoivre's Theorem to find the following. Write your answer in standard form. Use DeMoivre's Theorem to find the following. Write your answer in standard form.

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Find the 4 fourth roots of ​ Find the 4 fourth roots of ​   ​ ​

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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 .   ​ ​

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Convert to rectangular coordinates. Use exact values. Convert to rectangular coordinates. Use exact values.

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Write the complex number in trigonometric form. Round the angle to the nearest hundredth of a degree. Write the complex number in trigonometric form. Round the angle to the nearest hundredth of a degree.   ​ ​

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Convert to polar coordinates with Convert to polar coordinates with   and    between   and   .   ​ and Convert to polar coordinates with   and    between   and   .   ​  between Convert to polar coordinates with   and    between   and   .   ​ and Convert to polar coordinates with   and    between   and   .   ​ . Convert to polar coordinates with   and    between   and   .   ​ ​

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Write the complex number in trigonometric form. Round the angle to the nearest hundredth of a degree. Write the complex number in trigonometric form. Round the angle to the nearest hundredth of a degree.

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Find 4 fourth roots of Find 4 fourth roots of   . Write each root in standard form. . Write each root in standard form.

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Write the equation with rectangular coordinates. Write the equation with rectangular coordinates.

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Find the product. Find the product.

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Use your graphing calculator to convert to rectangular coordinates. Round all values to four significant digits. Use your graphing calculator to convert to rectangular coordinates. Round all values to four significant digits.

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Multiply. Leave the answer in trigonometric form. Multiply. Leave the answer in trigonometric form.

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Use a calculator to help write the complex number in standard form. Round the numbers in your answer to the nearest hundredth. Use a calculator to help write the complex number in standard form. Round the numbers in your answer to the nearest hundredth.   ​ ​

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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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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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