Find the exact value of each expression. \[ \begin{array}{ll}\text { (a) } \cos \frac{5 \pi}{12}+\cos \frac{\pi}{12} & =\square \\ \text { (b) } \cos \frac{5 \pi}{24} \sin \frac{\pi}{24} & =\square\end{array} \]

Find the amplitude (if one exists), period, and phase shift of the following function. Graph the function. Be sure to label key points. Show at least two periods. \[ y=3 \tan (6 x-\pi) \] What is the amplitude of \( y=3 \tan (6 x-\pi) \) ? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The amplitude is (Type an integer or a fraction.) B. The amplitude does not exist.

Find the amplitude (if one exists), period, and phase shift of the following function. Graph the function. Be sure to label key points. Show at least two periods. \( y=3 \tan (6 x-\pi) \) What is the amplitude of \( y=3 \tan (6 x-\pi) \) ? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. (Type an integer or a fraction.) B. The amplitude does not exist. The period of \( y=3 \) tan \( (6 x-\pi) \) is (Simplify your answer. Type an exact answer, using \( \pi \) as needed. Use integers or fractions for any numbers in the expression.)

A funicular carries passengers up an embankment to an observation point. If the length of the track is 67.8 meters and the angle of inclination is \( 39^{\circ} 4^{\prime} \), determine the height of the embankment. The embankment is \( \square \) meters high. (Round to two decimal places as needed.)

-pi/3 on the unit circle

Calcule tanx cuando la expresión \( 5\left(\sqrt{3} \cos 7^{\circ}-\operatorname{sen} 7^{\circ}\right) \cos x+15 \operatorname{sen} x \) toma su máximo valor.