Unit 4 Review

Front

What is the equation of the graph shown?

Back

y=-2 cos 3x +5

Front

If the tan Θ = \(\frac{7}{24}\), find the value of cos Θ.

Back

\(\frac{24}{25}\) is the value of cos Θ.

Front

What is the equation of the midline for the graph shown?

Back

y=5

Front

What is the period for the function \(f(x)=-3\cos(4x)+2\)?

Back

The period is \(\frac{\pi}{2}\).

Front

Which of the following is closest to the measure of the angle drawn by the green curve?

Back

The angle is \(\frac{5}{3}\pi\).

Front

Define the midline of a trigonometric function.

Back

The midline is a horizontal line that represents the average value of the maximum and minimum values of the function.

Front

What is the formula for the period of a cosine function?

Back

The period is given by \(\frac{2\pi}{|b|}\) where \(b\) is the coefficient of \(x\) in \(\cos(bx)\).

Front

How do you find the amplitude of a cosine function?

Back

The amplitude is the absolute value of the coefficient in front of the cosine function.

Front

What is the relationship between sine and cosine in a right triangle?

Back

In a right triangle, \(\sin(Θ) = \frac{opposite}{hypotenuse}\) and \(\cos(Θ) = \frac{adjacent}{hypotenuse}\).

Front

What is the Pythagorean identity involving sine and cosine?

Back

The Pythagorean identity states that \(\sin^2(Θ) + \cos^2(Θ) = 1\).