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What is the range of the tangent function?

Explain how the amplitude and period of a sinusoidal graph are used to establish the scale on each coordinate axis.

Linear Speed on Earth Earth rotates on an axis through its poles. The distance from the axis to a location on Earth 30° north latitude is about 3429.5 miles. Therefore, a location on Earth at 30° north latitude is spinning on a circle of radius of 3429.5 miles. Compute the linear speed on the surface of Earth at 30° north latitude.

The mean distance of the moon from Earth is $2.39×{10}^5$ miles. Assuming that the orbit of the moon around Earth is circular and that 1 revolution takes 27.3 days, find the linear speed of the moon. Express your answer in miles per hour.

Is the sine function even, odd, or neither? Is its graph symmetric? With respect to what?

Two pulleys, one with radius 2 inches and the other with radius 8 inches, are connected by a belt. (See the figure.) If the 2-inch pulley is caused to rotate at 3 revolutions per minute, determine the revolutions per minute of the 8-inch pulley.

A neighborhood carnival has a Ferris wheel whose radius is 30 feet. You measure the time it takes for one revolution to be 70 seconds. What is the linear speed (in feet per second) of this Ferris wheel? What is the angular speed in radians per second?

Is the tangent function even, odd, or neither? Is its graph symmetric? With respect to what?

Is the cotangent function even, odd, or neither? Is its graph symmetric? With respect to what?

Is the secant function even, odd, or neither? Is its graph symmetric? With respect to what?