91Ó°ÊÓ

Describe a relationship between the graphs of \(y=\sin x\) and \(y=\cos x\)

How do we measure the distance between two points, \(A\) and \(B,\) on Earth? We measure along a circle with a center, \(C,\)at the center of Earth. The radius of the circle is equal to the distance from C to the surface. Use the fact that Earth is a sphere of radius equal to approximately 4000 miles to solve. If \(\theta=30^{\circ},\) find the distance between \(A\) and \(B\) to the nearest mile.

In Exercises \(93-98,\) let $$ f(x)=\sin x, g(x)=\cos x, \text { and } h(x)=2 x $$ Find the exact value of each expression. Do not use a calculator. $$(h \circ g)\left(\frac{17 \pi}{3}\right)$$

Write the equation for a cosecant function satisfying the given conditions. $$\text { period: } 3 \pi ; \text { range: }(-\infty,-2] \cup[2, \infty)$$

In Exercises \(93-98,\) let $$ f(x)=\sin x, g(x)=\cos x, \text { and } h(x)=2 x $$ Find the exact value of each expression. Do not use a calculator. $$(h \circ f)\left(\frac{11 \pi}{4}\right)$$

How do we measure the distance between two points, \(A\) and \(B,\) on Earth? We measure along a circle with a center, \(C,\)at the center of Earth. The radius of the circle is equal to the distance from C to the surface. Use the fact that Earth is a sphere of radius equal to approximately 4000 miles to solve. If \(\theta=10^{\circ},\) find the distance between \(A\) and \(B\) to the nearest mile.

Describe the relationship between the graphs of \(y=A \cos (B x-C)\) and \(y=A \cos (B x-C)+D\)

Write the equation for a cosecant function satisfying the given conditions. $$\text { period: } 2 ; \text { range: }(-\infty,-\pi] \cup[\pi, \infty)$$

Biorhythm cycles provide interesting applications of sinusoidal graphs. But do you believe in the validity of biorhythms? Write a few sentences explaining why or why not.

How do we measure the distance between two points, \(A\) and \(B,\) on Earth? We measure along a circle with a center, \(C,\)at the center of Earth. The radius of the circle is equal to the distance from C to the surface. Use the fact that Earth is a sphere of radius equal to approximately 4000 miles to solve. The angular speed of a point on Earth is \(\frac{\pi}{12}\) radian per hour. The Equator lies on a circle of radius approximately -4000 miles. Find the linear velocity, in miles per hour, of a point on the Equator.