Search problems

2 problems match “quadrant analysis”. Clear

Visitors search a sample. Sign in for free to search every problem. Sign in

1. Polar form of a complex number ●○○○○ 10 ptsWrite $2-2i$ in polar form $r(\cos\theta+i\sin\theta)$ with $r>0$ and $-180^\circ<\theta\le 180^\circ$. Find $r$, rounded to two decimal places, and $\theta$ in degrees.
2. Sine of a double angle from a shifted sine ●●○○○ 20 ptsGiven $\alpha \in (0, \frac{\pi}{2})$ and $\sin (2\alpha - \frac{\pi}{3}) = \frac{\sqrt{3}}{3}$, find $\sin 2\alpha$. Round to four decimal places.