# Worksheet: Exponential Form of a Complex Number

In this worksheet, we will practice converting a complex number from the algebraic to the exponential form (Euler's form) and vice versa.

Q1:

Put in algebraic form.

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Q2:

Express in exponential form.

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Q3:

Express in exponential form.

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Q4:

Put the number in exponential form.

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Q5:

Given that , find the algebraic form of .

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Q6:

Given that , write in exponential form.

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Q7:

Express in exponential form.

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Q8:

Put in algebraic form.

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Q9:

Given that , find the algebraic form of .

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Q10:

Express in exponential form.

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Q11:

Express in exponential form.

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Q12:

Put the number in exponential form.

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Q13:

Put the number in exponential form.

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Q14:

Put the number in exponential form.

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Q15:

Put the number in exponential form.

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Q16:

Put the number in exponential form.

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Q17:

Express in exponential form.

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Q18:

Find the numerical value of .

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Q19:

Given that , where and , find and .

• A ,
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Q20:

Put in exponential form.

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Q21:

Put in exponential form.

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Q22:

Express the complex number in exponential form.

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Q23:

Put in exponential form.

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Q24:

Given that and , find , giving your answer in exponential form.

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Q25:

Given that and , find , giving your answer in exponential form.

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