Determine the period of the function \( f(x)=2 \cos \left(\frac{1}{6} x+\frac{\pi}{3}\right) \). (1 point) \( -\frac{\pi}{3} \) \( \frac{\pi}{3} \) \( 2 \pi \) \( 12 \pi \)

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, \( t=3 \mathrm{sec} \)

\( 1 - \tan ^ { 2 } x \geq 0 \)

Дан треугольник \( A B C \), в котором \( \angle A+\angle B=90^{\circ} \), а \( \sin B=\frac{2 \sqrt{5}}{10 \sqrt{10}} \) Найди \( \cos ^{2} B \).

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.

\( 2 \cos ^ { 2 } x - 1 \geq 0 \)