2. Responde las siguientes preguntas. a. ¿Para qué casos se aplican la ley de senos y la ley del coseno? b. ¿Cómo se deduce la ley del coseno para un triángulo obtusángulo?

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

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

\( \left. \begin{array} { l } { ( t ) = \frac { \sin t } { \cos t } } \\ { \frac { 2 \cos ( 3 t ) \cos ( 2 t ) + 3 \sin ( 2 t ) \sin ( 3 t ) } { \cos ^ { 2 } ( 3 t ) } } \\ { \frac { 2 \cos ( 3 t ) \cos ( 2 t ) - 3 \sin ( 2 t ) \sin ( 3 t ) } { \cos ^ { 2 } ( 3 t ) } } \\ { \frac { \sin ^ { 2 } ( t ) + \cos ^ { 2 } ( t ) } { \cos ^ { 2 } ( t ) } } \\ { \frac { \cos ( t ) \cos ( t ) - \sin ( t ) \sin ( t ) } { \cos ( t ) } } \end{array} \right. \)

1. Tides are a periodic rise and fall of water in the ocean. A low tide of 4.2 meters in White Rock, B.C. occurs at \( 4: 30 \) a.m., and the next high tide of 11.8 meters occurs at \( 11: 30 \) a.m. the same day. a. Write a sinusoidal function that describes the tide flow. b. What is the height at 1:15 p.m. that same day?

\( R=\frac{2 \operatorname{sen} 90^{\circ}+\cos 180^{\circ}}{3 \operatorname{sen} 270^{\circ}} \) \( \begin{array}{lll}\text { A) } 2 & \text { B) }-1 / 2 & \text { C) }-1 / 3 \\ \text { D) } 3 & \text { E) } 1 / 3 & \end{array} \)