M3 Trig Review

Front

What are co-terminal angles?

Back

Co-terminal angles are angles that share the same terminal side when drawn in standard position. To find co-terminal angles, add or subtract multiples of 360° (or 2π radians) from the given angle.

Front

Find co-terminal angles for -75°.

Back

Add 360°: -75° + 360° = 285°; Subtract 360°: -75° - 360° = -435°. Co-terminal angles are 285° and -435°.

Front

What is the period of the function y = 4Cos(2x)?

Back

The period of a cosine function is given by the formula: Period = \frac{2\pi}{|b|}, where b is the coefficient of x. Here, b = 2, so Period = \frac{2\pi}{2} = \pi.

Front

Convert -216° to radians.

Back

To convert degrees to radians, use the formula: Radians = Degrees × \frac{\pi}{180}. Thus, -216° = -216 × \frac{\pi}{180} = -\frac{6\pi}{5}.

Front

What is the difference between sine and cosine functions?

Back

Sine (sin) represents the y-coordinate of a point on the unit circle, while cosine (cos) represents the x-coordinate. They are periodic functions with a period of 2π.

Front

What is the definition of the period in trigonometric functions?

Back

The period is the horizontal length required to complete one full cycle of the function. For sine and cosine functions, the period is 2π.

Front

What is the amplitude of a trigonometric function?

Back

The amplitude is the maximum distance from the midline (or axis of oscillation) to the peak (or trough) of the wave. It is half the distance between the maximum and minimum values.

Front

How do you determine the amplitude of y = 4Cos(2x)?

Back

The amplitude is the coefficient in front of the cosine function. For y = 4Cos(2x), the amplitude is 4.

Front

What is the range of the function y = 4Cos(2x)?

Back

The range of a cosine function is given by [ -A, A ], where A is the amplitude. For y = 4Cos(2x), the range is [-4, 4].

Front

What is the unit circle?

Back

The unit circle is a circle with a radius of 1 centered at the origin (0,0) in the coordinate plane. It is used to define trigonometric functions.