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Worksheet: Representing Complex Numbers in Polar Form
Q2:
Given that and , find the trigonometric form of .
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Q3:
Given that and the argument of is , find , giving your answer in trigonometric form.
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Q4:
Consider the diagram.
Which of the following correctly describes the relationship between and ?
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Which of the following correctly describes the relationship between and ?
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Hence, express in terms of and .
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Q5:
Given that and the argument of is , find , giving your answer in trigonometric form.
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Q6:
Given that and the argument of is , where , find , giving your answer in trigonometric form.
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Q7:
Express the complex number in trigonometric form.
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Q8:
The Argand diagram shows the complex number .
Write in rectangular form.
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Convert to polar form, rounding the argument to two decimal places.
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Q9:
Given that and the argument of is , find , giving your answer in algebraic form.
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Q10:
Given that and the argument of is , find , giving your answer in algebraic form.
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Q11:
Given that and the argument of is , find , giving your answer in algebraic form.
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Q12:
Express in algebraic form.
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Q13:
Given that , determine the algebraic form of , approximating the real and imaginary parts to the nearest two decimal places.
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Q14:
Given that , find the principal argument of , where .
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Q15:
Given that , determine the trigonometric form of .
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Q16:
Given that , determine the trigonometric form of .
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Q17:
Simplify , giving your answer in both algebraic and trigonometric form.
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Q18:
Simplify , giving your answer in both algebraic and trigonometric form.
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Q19:
Simplify , giving your answer in both algebraic and trigonometric form.
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Q20:
Given that , express the complex number in the form of , and then determine its trigonometric form.
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Q21:
Given that , determine the trigonometric form of the complex number .
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Q22:
Determine, in trigonometric form, the square roots of .
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Q23:
Find the trigonometric form of the complex number represented by the given Argand diagram.
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Q24:
Find the trigonometric form of the complex number represented by the given Argand diagram.
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Q25:
Simplify , giving your answer in both algebraic and trigonometric form.
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