o 2. Даны комплексные числа \( z_{1}=1-i \sqrt{3} \) и \( z_{2}=-2 \mathrm{i} \). Найти: а) \( z_{1}^{5}, \sqrt[3]{z_{2}} ; \) выполнить действия в тригонометрической форме; результат заппсать в алгебраической форме, в показательной форме; б) изобразить на комплексной плоскости числа \( z_{2} \overline{z_{2}} \); указать на чертеже их модули и аргументы.

Find the exact values of the six trigonometic functions for the following angle. \[ 330^{\circ} \]

\( \theta=\frac{2 \pi}{7} \) radians, \( \omega=\frac{2 \pi}{3} \) radian per minute Use formula \( \omega=\frac{\theta}{t} \) to find the value of the missing variable.

As part of her assignment, Devi has to use her clinometer to measure the height of an office tower \( T A \). From a point \( B \), she observes that angle \( T B A=34^{\circ} \). She then walks 25 m away from the office tower to a point \( C \) and observes that angle \( T C A=26^{\circ} \). Find the height of the sfice tover.

Question 36, 3.4.7 Part 1 of 3 Suppose that point \( P \) is on a circle with radius \( r \), and ray \( O P \) is rotating with angular speed \( \omega \). Complete parts (a) through (c). \( \mathrm{r}=8 \mathrm{~cm}, \omega=\frac{\pi}{8} \) radian per sec, \( t=3 \mathrm{sec} \)

\( \tan \theta=\frac{8}{15} \), given that \( \theta \) is in quadrant III