Unit 3 Revision 1 Complex Numbers

$$7cis\left(\frac{\pi^2}{4}\right)$$  

$$7cis\left(\frac{13\pi}{12}\right)$$  

$$10cis\left(\frac{\pi}{4}\right)$$  

$$10cis\left(\frac{-11\pi^{ }}{12}\right)$$  

$$5cis\left(0.93\right)$$  

$$5cis\left(126.87\right)$$  

$$5cis\left(2.21\right)$$  

$$125cis\left(0.93\right)$$  

x = 4, y = 4

x = -4, y = 4

x = 4, y = -4

x = 4, y = -4 or x = -4, y = 4

$$\frac{2}{3}+\frac{1}{3}i$$  

$$\frac{2}{5}+\frac{1}{5}i$$  

$$\frac{2}{3}-\frac{1}{3}i$$  

$$\frac{2}{5}-\frac{1}{5}i$$  

$$\left(z+3+i\right)^2$$  

$$\left(z+3-i\right)^2$$  

$$\left(z+3+i\right)\left(z+3-i\right)$$  

$$\left(z+3+i\right)\left(z-3+i\right)$$  

$$\sqrt{3}-i,\ -2i,\ 2i$$  

$$\sqrt{3}-i,\ -\sqrt{3}-i,\ 2i$$  

$$-\sqrt{3}-i,\ -2,\ -2i$$  

$$-\sqrt{3}-i,\ -\sqrt{3}-i,\ -2i$$  

$$\sqrt{3}cis\left(-\frac{\pi}{4}\right)$$  

$$\sqrt{3}cis\left(-\frac{7\pi}{4}\right)$$  

$$-\sqrt{3}cis\left(-\frac{\pi}{4}\right)$$  

$$-\sqrt{3}cis\left(-\frac{7\pi}{4}\right)$$  

-1, 1, 0

-1, 1, 1 - i

-1 + i, -1 - i, 1 - i

-1 + i, -1 - i, -1

$$2cis\left(-\frac{2\pi}{3}\right),\ 2cis\left(\frac{\pi}{3}\right)$$  

$$2cis\left(-\frac{\pi}{3}\right),\ 2cis\left(\frac{2\pi}{3}\right)$$  

$$4cis\left(-\frac{2\pi}{3}\right),\ 4cis\left(\frac{\pi}{3}\right)$$  

$$4cis\left(-\frac{\pi}{3}\right),\ 4cis\left(\frac{2\pi}{3}\right)$$  

$$\sqrt{5}$$  

$$2\sqrt{5}$$  

$$4\sqrt{5}$$  

$$\frac{\sqrt{10}}{2}$$