Find the exact acute angle \( \theta \) for the given function value. \[ \cos \theta=\frac{1}{2} \]

Evaluate circular function cot for angle \( (\pi / 4) \) \[ \cot (\pi / 4)=\square \]

Indicate the signs of \( \tan \theta \) if the terminal side of angle \( \theta \) (with the initial side in the standard position) is in the Fourth Quadrant.

Find all the angles \( \theta \) in \( \left[0^{\circ}, 360^{\circ}\right) \) that have a \( \sin (\theta)=\frac{-1}{2} \)

19) Find \( \sin A \) and \( \cot B \) for a right triangle given that \( b=2, c=\sqrt{29} \). a) \( O \sin A=\frac{\sqrt{29}}{5}, \cot B=\frac{2}{5} \) b) \( \sin A=\frac{5 \sqrt{29}}{29}, \cot B=\frac{5}{2} \) c) \( O \sin A=\frac{2}{5}, \cot B=\frac{5}{2} \) d) \( O \sin A=\frac{5}{29}, \cot B=\frac{5}{2} \)

24) What is the period of the function : \( f(x)=\frac{-2}{3} \cos \left(\frac{\pi}{4}+4 x\right) \) a) \( 2 \pi \) b) \( \frac{3 \pi}{2} \) c) \( \pi \) d) \( \frac{\pi}{2} \)