91Ó°ÊÓ

What is the range of the tangent function?

If $f\left(\mathrm{θ}\right)=\sin \mathrm{θ}$and $g\left(\mathrm{θ}\right)=\cos \mathrm{θ}$. Find the exact value of the function given below if $\mathrm{θ}=60°$.Do not use calculator.

Function is$2f\left(\mathrm{θ}\right)$.

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.

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

What is the range of the cotangent function?

If $f\left(\mathrm{θ}\right)=\sin \mathrm{θ}$and $g\left(\mathrm{θ}\right)=\cos \mathrm{θ}$. Find the exact value of the function given below if $\mathrm{θ}=60°$. Do not use a calculator.

Function is$2g\left(\mathrm{θ}\right)$.

Find an application in your major field that leads to a sinusoidal graph. Write a paper about your findings.

Linear Speed on Earth Earth rotates on an axis through its poles. The distance from the axis to a location on Earth at 40° north latitude is about 3033.5 miles. Therefore, a location on Earth at 40° north latitude is spinning on a circle of radius of 3033.5 miles. Compute the linear speed on the surface of Earth at 40° north latitude.

What is the range of the secant function?

If $f\left(\mathrm{θ}\right)=\sin \mathrm{θ}$and $g\left(\mathrm{θ}\right)=\cos \mathrm{θ}$. Find the exact value of the function given below if $\mathrm{θ}=60°$. Do not use a calculator.

Function is$f\left(-\mathrm{θ}\right)$.