MORE COMPLEX NUMBERS

$$\tan^{-1}\left(\frac{1}{3}\right)$$

$$0.436\ rad$$  

$$\tan^{-1}\left(2\right)$$  

$$\tan^{-1}\left(0.5\right)$$  

$$\sqrt[]{10}$$

10

4

2

r [ ncos(θ) + i nsin(θ) ]

r [ cos(nθ) + i sin(nθ) ]

rⁿ [ cos(nθ) + i sin(nθ) ]

rⁿ [ cos(θⁿ) + i sin(θⁿ) ]

1

$$\sqrt[]{3}$$

13

$$\sqrt[]{13}$$

$$\frac{\pi}{8}$$

$$\frac{\pi}{6}$$

$$\frac{\pi}{3}$$

$$\frac{-\pi}{6}$$

$$\frac{\pi}{4}$$

$$\frac{2\pi}{5}$$

$$\frac{-5\pi}{4}$$

$$\frac{3\pi}{4}$$

$$\left|z\right|$$ =3, arg z = $$\frac{\pi}{5}$$

$$\left|z\right|$$ = $$\sqrt[]{3}$$ , arg z = $$\frac{\pi}{5}$$

$$\left|z\right|$$ = $$\sqrt[]{3}$$ ,

arg z = $$\frac{-\pi}{5}$$

$$\left|z\right|$$ = $$\frac{-\pi}{5}$$ ,

arg z = $$\sqrt[]{3}$$

-3

3 + i

$$\sqrt[]{3}$$ + $$\frac{i}{2}$$

9

5 (sin $$\frac{\pi}{3}$$ + i cos $$\frac{\pi}{3}$$ )

5sin $$\frac{\pi}{3}$$ - 5cos $$\frac{\pi}{3}$$ i

5(cos $$\frac{\pi}{3}$$ - i sin $$\frac{\pi}{3}$$ )

5(sin $$\frac{\pi}{3}$$ - i cos $$\frac{\pi}{3}$$ )