91Ó°ÊÓ

Verify the identity by transforming the lefthand side into the right-hand side. $$\cos \theta \sec \theta=1$$

Pendulum's swing A pendulum in a grandfather clock is 4 feet long and swings back and forth along a 6-inch arc. Approximate the angle (in degrees) through which the pendulum passes during one swing.

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

Refer to Exercise 49. The principal solar diurnal component may be approximated by $$ f(t)=a \cos \left(\frac{\pi}{12} t-\frac{7 \pi}{12}\right) $$ Sketch the graph of \(f\) if \(a=0.2 \mathrm{~m}\).

Verify the identity by transforming the lefthand side into the right-hand side. $$\tan \theta \cot \theta=1$$

Pizza values A vender sells two sizes of pizza by the slice. The small slice is \(\frac{1}{6}\) of a circular 18 -inch-diameter pizza, and it sells for \(\$ 2.00\). The large slice is \(\frac{1}{8}\) of a circular 26 -inchdiameter pizza, and it sells for \(\$ 3.00\). Which slice provides more pizza per dollar?

An airplane flying at an altitude of 10,000 feet passes directly over a fixed object on the ground. One minute later, the angle of depression of the object is \(42^{\circ}\). Approximate the speed of the airplane to the nearest mile per hour.

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

Exer. 51-54: Refer to the graph of the equation on the specified interval. Find all values of \(x\) such that for the real number \(a\), (a) \(y=a\), (b) \(y>a\), and (c) \(y

Verify the identity by transforming the lefthand side into the right-hand side. $$\sin \theta \sec \theta=\tan \theta$$