\( \cos \left(\alpha+\frac{\pi}{3}\right) \), если \( \cos \alpha=\frac{15}{17} \) и \( \frac{3 \pi}{2}<\alpha<2 \pi \)

Find the height of a building that projects a shadow of 350 ft on the ground, If the angle of elevation fr the end of the shadow to the top of the building is \( 40^{\circ} \). a) 234 ft p) 294 ft b) 315 ft d) 302 ft

Evaluate circular function cot for angle ( \( \pi / 4 \) )

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

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) \( \frac{\pi}{2} \)

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) \( O \sin A=\frac{5}{29}, \cot B=\frac{5}{2} \)