91Ó°ÊÓ

Approximate the acute angle \(\theta\) to the nearest (a) \(0.01^{\circ}\) and (b) \(1^{\prime}\). $$ \sec \theta=4.246 $$

Find the period and sketch the graph of the equation. Show the asymptotes. $$ y=\sec 2 x $$

Approximate to four decimal places, when appropriate. (a) \(\cot (\pi / 13)\) (b) \(\csc 1.32\) (c) \(\cos (-8.54)\) (d) \(\tan (3 \pi / 7)\)

A rocket is fired at sea level and climbs at a constant angle of \(75^{\circ}\) through a distance of 10,000 feet. Approximate its altitude to the nearest foot.

Exer. 5-40: Find the amplitude, the period, and the phase shift and sketch the graph of the equation. $$ y=-5 \cos \left(\frac{1}{3} x+\frac{\pi}{6}\right) $$

An airplane takes off at a \(10^{\circ}\) angle and travels at the rate of \(250 \mathrm{ft} / \mathrm{sec}\). Approximately how long does it take the airplane to reach an altitude of 15,000 feet? 33 Designing a drawbridge

Approximate the acute angle \(\theta\) to the nearest (a) \(0.01^{\circ}\) and (b) \(1^{\prime}\). $$ \csc \theta=11 $$

Approximate to four decimal places, when appropriate. (a) \(\sin (-0.11)\) (b) \(\sec \frac{31}{27}\) (c) \(\tan \left(-\frac{3}{13}\right)\) (d) \(\cos 2.4 \pi\)

Exer. 5-40: Find the amplitude, the period, and the phase shift and sketch the graph of the equation. $$ y=4 \sin \left(\frac{1}{3} x-\frac{\pi}{3}\right) $$

Find the period and sketch the graph of the equation. Show the asymptotes. $$ y=\sec \frac{1}{2} x $$