Precalc Final Study Guide Independent

2

A flagpole is stand on the top of a building that is 40 meters tall. From point A, the angle of the elvation to the top of the building is 42 degrees. The angle of elevation to the top of the flagpole is 48 degrees. How tall is the flagpole?
Round your final answer to the nearest whole tenth and include the appropriate units.

2

The temperature in Central Park in New York City follows a sinusoidal pattern. The graph shows the change in temperature in degrees Fahrenheit over the course of a year.
State the graph's range in interval notation and interpret its meaning in context.

2

The temperature in Central Park in New York City follows a sinusoidal pattern. The graph shows the change in temperature in degrees Fahrenheit over the course of a year.
Using interval notation, state when the graph is increasing, decreasing and constant.

2

Identify the parent of the transformed graph and then describe its transformations. CHANGE

2

Write the equation of the given graph. CHANGE

2

For the graph of y=4\csc{\left(\frac{x}{3}\right)}-3, explain how you would determine a maximum point, a minimum point, and the equations for the function's asymptotes. You do not need to calculate numerical values for these points. CHANGE

3

The pressure P (in millimeters of mercury) against the walls of the blood vessels of a person is modeled by the function P=100-20\cos(\frac{8\pi}{3}t) , where t is the time in seconds. One cycle is equivalent to one heartbeat.
After how many seconds does the pressure of the vessels in the body measure 110 millimeters of mercury?

3

Calculate the general solution to the equation \tan^{2}{\left(\frac{x}{5}\right)}-1=0.

1

Consider the equation \tan^2{\left(x\right)}=3. Without solving the equation, determine the number of solutions the equation must have on the interval [0,2\pi). Explain your reasoning to justify your answer.

3

Simplify the expression using the fundamental trig identities.
\csc^2{\theta}-\cot^2{\theta}

3

Precalc Final Study Guide Independent

The temperature in Central Park in New York City follows a sinusoidal pattern. The graph shows the change in temperature in degrees Fahrenheit over the course of a year.
State the graph's range in interval notation and interpret its meaning in context.

The temperature in Central Park in New York City follows a sinusoidal pattern. The graph shows the change in temperature in degrees Fahrenheit over the course of a year.
Using interval notation, state when the graph is increasing, decreasing and constant.

Identify the parent of the transformed graph and then describe its transformations. CHANGE

Write the equation of the given graph. CHANGE

For the graph of y=4\csc{\left(\frac{x}{3}\right)}-3, explain how you would determine a maximum point, a minimum point, and the equations for the function's asymptotes. You do not need to calculate numerical values for these points. CHANGE

Calculate the general solution to the equation \tan^{2}{\left(\frac{x}{5}\right)}-1=0.

Consider the equation \tan^2{\left(x\right)}=3. Without solving the equation, determine the number of solutions the equation must have on the interval [0,2\pi). Explain your reasoning to justify your answer.

Simplify the expression using the fundamental trig identities.
\csc^2{\theta}-\cot^2{\theta}

Simplify the expression using the fundamental trig identities.
\frac{\sin^2{x}}{\cos{x}}+ \frac{\cos^2{x}}{\cos{x}}

The temperature in Central Park in New York City follows a sinusoidal pattern. The graph shows the change in temperature in degrees Fahrenheit over the course of a year.
State the graph's range in interval notation and interpret its meaning in context.

The temperature in Central Park in New York City follows a sinusoidal pattern. The graph shows the change in temperature in degrees Fahrenheit over the course of a year.
Using interval notation, state when the graph is increasing, decreasing and constant.

Identify the parent of the transformed graph and then describe its transformations. CHANGE

Write the equation of the given graph. CHANGE

For the graph of y=4\csc{\left(\frac{x}{3}\right)}-3, explain how you would determine a maximum point, a minimum point, and the equations for the function's asymptotes. You do not need to calculate numerical values for these points. CHANGE

Calculate the general solution to the equation \tan^{2}{\left(\frac{x}{5}\right)}-1=0.

Consider the equation \tan^2{\left(x\right)}=3. Without solving the equation, determine the number of solutions the equation must have on the interval [0,2\pi). Explain your reasoning to justify your answer.

Simplify the expression using the fundamental trig identities.
\csc^2{\theta}-\cot^2{\theta}

Simplify the expression using the fundamental trig identities.
\frac{\sin^2{x}}{\cos{x}}+ \frac{\cos^2{x}}{\cos{x}}

Precalc Final Study Guide Independent

Precalc Final Study Guide Independent

The temperature in Central Park in New York City follows a sinusoidal pattern. The graph shows the change in temperature in degrees Fahrenheit over the course of a year. State the graph's range in interval notation and interpret its meaning in context.

The temperature in Central Park in New York City follows a sinusoidal pattern. The graph shows the change in temperature in degrees Fahrenheit over the course of a year. Using interval notation, state when the graph is increasing, decreasing and constant.

Identify the parent of the transformed graph and then describe its transformations. CHANGE

Write the equation of the given graph. CHANGE

For the graph of y=4\csc{\left(\frac{x}{3}\right)}-3, explain how you would determine a maximum point, a minimum point, and the equations for the function's asymptotes. You do not need to calculate numerical values for these points. CHANGE

Calculate the general solution to the equation \tan^{2}{\left(\frac{x}{5}\right)}-1=0.

Consider the equation \tan^2{\left(x\right)}=3. Without solving the equation, determine the number of solutions the equation must have on the interval [0,2\pi). Explain your reasoning to justify your answer.

Simplify the expression using the fundamental trig identities. \csc^2{\theta}-\cot^2{\theta}

Simplify the expression using the fundamental trig identities. \frac{\sin^2{x}}{\cos{x}}+ \frac{\cos^2{x}}{\cos{x}}

The temperature in Central Park in New York City follows a sinusoidal pattern. The graph shows the change in temperature in degrees Fahrenheit over the course of a year. State the graph's range in interval notation and interpret its meaning in context.

The temperature in Central Park in New York City follows a sinusoidal pattern. The graph shows the change in temperature in degrees Fahrenheit over the course of a year. Using interval notation, state when the graph is increasing, decreasing and constant.

Identify the parent of the transformed graph and then describe its transformations. CHANGE

Write the equation of the given graph. CHANGE

For the graph of y=4\csc{\left(\frac{x}{3}\right)}-3, explain how you would determine a maximum point, a minimum point, and the equations for the function's asymptotes. You do not need to calculate numerical values for these points. CHANGE

Calculate the general solution to the equation \tan^{2}{\left(\frac{x}{5}\right)}-1=0.

Consider the equation \tan^2{\left(x\right)}=3. Without solving the equation, determine the number of solutions the equation must have on the interval [0,2\pi). Explain your reasoning to justify your answer.

Simplify the expression using the fundamental trig identities. \csc^2{\theta}-\cot^2{\theta}

Simplify the expression using the fundamental trig identities. \frac{\sin^2{x}}{\cos{x}}+ \frac{\cos^2{x}}{\cos{x}}

The temperature in Central Park in New York City follows a sinusoidal pattern. The graph shows the change in temperature in degrees Fahrenheit over the course of a year.
State the graph's range in interval notation and interpret its meaning in context.

The temperature in Central Park in New York City follows a sinusoidal pattern. The graph shows the change in temperature in degrees Fahrenheit over the course of a year.
Using interval notation, state when the graph is increasing, decreasing and constant.

Simplify the expression using the fundamental trig identities.
\csc^2{\theta}-\cot^2{\theta}

Simplify the expression using the fundamental trig identities.
\frac{\sin^2{x}}{\cos{x}}+ \frac{\cos^2{x}}{\cos{x}}

The temperature in Central Park in New York City follows a sinusoidal pattern. The graph shows the change in temperature in degrees Fahrenheit over the course of a year.
State the graph's range in interval notation and interpret its meaning in context.

The temperature in Central Park in New York City follows a sinusoidal pattern. The graph shows the change in temperature in degrees Fahrenheit over the course of a year.
Using interval notation, state when the graph is increasing, decreasing and constant.

Simplify the expression using the fundamental trig identities.
\csc^2{\theta}-\cot^2{\theta}

Simplify the expression using the fundamental trig identities.
\frac{\sin^2{x}}{\cos{x}}+ \frac{\cos^2{x}}{\cos{x}}