What is the polar form of (42, 77)?

Amiya Arellano

Amiya Arellano

Answered question

2022-02-01

What is the polar form of (42, 77)?

Answer & Explanation

iloverayyeb

iloverayyeb

Beginner2022-02-02Added 14 answers

Step 1
Quick way of doing this: Use the Pol button on ur calculator and enter the coordinates.
If z is the complex number,
Finding modulus:
|z|=422+772=7693
Finding argument:
Plot the point on an Argand diagram. This is important to ensure that you write the principal argument. We can see that the complex number is in the first quadrant, so no adjustments need to be made, but be wary when the point is in the 3rd/4th quadrants.
Arg(z)=tan1(7742)=1.071 radians or 6123
Placing this in polar form,
z=|z|cisarg(z)=7693cis 1.071

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