Ferris Wheel 1. A ferris wheel of radius 25 metres, placed one meter above the ground, varies sinusoidally with time. The ferris wheel makes one rotation every 24 seconds. Adam is sitting 26 metres from the ground and rising when it starts to rotate. a. Write a sinusoidal function that describes the function from Adam's starting position. b. How high above the ground would a person be 16 seconds after the ferris wheel starts moving? c. How many seconds on each rotation is a person more than 35 metres in the air?

6. A camera is filming the progress as a daredevil attempt to scale the wall of a skyscraper. The climber i moving vertically at a constant rate of 15 meters per minute, and the camera is 40 meters from the base of the skyscraper. Through how many radians per minute is the camera angle changing when the climbe is 30 meters feet up the building?

\( \frac{1}{1-\sin (\alpha )}+\frac{1}{1+\sin (\alpha )}-2\tan (^{2}\alpha )^{} \)

а) Решите неравенство: \( \sin y<-\frac{1}{\sqrt{2}} \)

Aufgabe 4 (4 Punkte, zum präzisen Aufschrieb). Zeigen Sie, dass für alle \( x, y \in \mathbb{R} \) gilt: (a) \( \cos (2 x)=2 \cos ^{2} x-1 \) und \( \sin (2 x)=2 \sin x \cos x \). (b) \( \cos x-\cos y=2 \sin \left(\frac{x+y}{2}\right) \sin \left(\frac{y-x}{2}\right) \) und \( \sin x-\sin y=2 \cos \left(\frac{x+y}{2}\right) \sin \left(\frac{x-y}{2}\right) \).

¿En qué cuadrante se encuentra \( 265^{\circ} \) ? \( \begin{array}{ll}\text { (A) } Q_{1} & \text { (B) } Q_{2} \\ \text { (C) } Q_{3} & \text { (D) } Q_{4} \\ \text { Convierte } 72^{\circ} 13^{\prime} 59^{\prime \prime} \text { a grados. } \\ \begin{array}{ll}\text { (A) } 72.2331^{\circ} & \text { (B) } 72.1359^{\circ} \\ \text { (C) } 72.3762^{\circ} & \text { (D) } 72.4179^{\circ}\end{array}\end{array} \$ \begin{array}{l}\end{array} \)