How to write complex number in Modulus Argument or Polar Form

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Polar Coordinates and Equations Introduction: • Polar Coordinate Point...
NEXT: • Find argument and modu...
A complex number in polar form is written as r(cos⁡θ+i sin⁡θ ).
Write the following complex numbers in correct polar form
a. 12+5i b. -√3-i
c. -1+i d. 3-4i #GCSE #SAT #EQAO #IBSLmath

[@aleshag13]

I love your videos thank you, but for part d, shouldn't theta be equal to 2pi - alpha?
Not the negative alpha value? We don't want to use the negative alpha value for theta in De Moivre's Formula...? Doesn't make sense to do so...
I watched another one of your videos and you do it differently; you subtract alpha from 360/2pi and this makes sense, in order to find theta.
ua-cam.com/video/95XPs3p43Ek/v-deo.html

[@aleshag13]

Ah ok I think I see what you did. In this video you didn't use the sin -theta = -sin theta and cos -theta= cos theta identities; you just left the negative sign on theta for both cos and sin.
So many different ways to write polar form! It's helpful to see all the different ways. Thanks so much.

[@benjaminmensah9034]

You've really made my day sir