Quick questions on Modulus-argument and exponential form: r(cos theta + i sin theta), re^(i theta) and the multiplication rules - OCR A-Level Further Maths A

2short Q&A pairs drawn directly from our worked dot-point answer. For full context and worked exam questions, read the parent dot-point page.

What is q1?

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Write

z = 1 - i

in exponential form. [3 marks]

What is q2?

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Given

|z_1| = 5

|z_2| = 2

\arg z_1 = \tfrac{\pi}{2}

and

\arg z_2 = \tfrac{\pi}{6}

, find the modulus and argument of

\dfrac{z_1}{z_2}

. [2 marks]

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