\( y=-3 \sin \left(\frac{1}{2} x-15^{\circ}\right)+1 \) Graph the finction and state the domain and range.

8. (3 points) Evaluate \( \arctan (1)=\tan ^{-1}(1) \) \( \begin{array}{ll}\text { A } \frac{\pi}{3} & \text { (B) } \frac{\pi}{2} \\ \text { (C) } \frac{\pi}{4} & \text { (D) } \frac{\pi}{6}\end{array} \)

Hallar " \( x \) ", si: \( \frac{\operatorname{Cos} 5 x+\operatorname{Cos} x}{\operatorname{Sen} 5 x+\operatorname{Sen} x}=1 \)

Buktikan \( \frac{1-\cos a}{\sin ^{2} a}=\frac{1}{1+\cos a} \)

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?

Use an identity to solve the following equation on the interval \( [0,2 \pi) \). \( 2 \sin ^{2} x-\cos x-1=0 \) Select the correct choice below and, if necessary, fill in the answer box to com A. \( x= \) (Type your answer in radians. Use integers or fractions for any numbe needed. Use a comma to separate answers as needed.) B. There is no solution.