Fall 2024 Final

Front

In which quadrant is the terminal side of 425°?

Back

The terminal side of 425° is in Quadrant I.

Front

Identify the amplitude and period of the equation y=-3sin(\frac{5\pi}{4}x).

Back

Amplitude = 3, Period = \frac{8}{5}.

Front

Find the value of x if the answer is 35.29.

Back

x = 35.29.

Front

What is the exact value of \cos^{-1}(\frac{\sqrt{3}}{2})?

Back

The exact value is \frac{\pi}{6}.

Front

Calculate the exact value of \csc(390°).

Back

The exact value is 2.

Front

What is the definition of amplitude in a sine function?

Back

Amplitude is the maximum distance from the midline to the peak (or trough) of the wave.

Front

What is the definition of period in trigonometric functions?

Back

The period is the distance (or angle) over which the function completes one full cycle.

Front

How do you determine the quadrant of an angle?

Back

To determine the quadrant, find the angle's reference angle and check its value relative to 90°, 180°, 270°, and 360°.

Front

What is the reference angle for 425°?

Back

The reference angle for 425° is 65°.

Front

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

Back

The period of a sine function is given by \frac{2\pi}{|b|}, where b is the coefficient of x.