31. \( \frac{\operatorname{sen} \theta}{\tan \theta}=\cos \theta \) 33. \( \frac{\cos u \sec u}{\tan u}=\cot u \)

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

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

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

Find the period of the function \( y=2 \sin \left(2 x+\frac{\pi}{2}\right) \) Period

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