Unit 6 Practice Flashcard

Front

What is amplitude in a trigonometric graph?

Back

Amplitude is the maximum distance from the center line to the peak (or trough) of the graph. It indicates how high and low the function goes from the center line.

Front

What is the equation of a sine function with an amplitude of 2?

Back

The equation is y = 2 sin x.

Front

What is the Unit Circle?

Back

The Unit Circle is a circle with a radius of 1 centered at the origin of a coordinate plane, used to define trigonometric functions.

Front

How do you find the exact value of a trigonometric function using the Unit Circle?

Back

Locate the angle on the Unit Circle, then read the corresponding x (cosine) and y (sine) coordinates.

Front

What is the period of a trigonometric function?

Back

The period is the length of one complete cycle of the function before it repeats.

Front

What is the value of tan^-1(√3)?

Back

The value is π/3.

Front

What is the range of a sine function?

Back

The range of a sine function is from -1 to 1.

Front

What does the term 'frequency' refer to in trigonometric functions?

Back

Frequency refers to the number of cycles a function completes in a given interval.

Front

How do you determine the phase shift of a trigonometric function?

Back

The phase shift is determined by the horizontal translation of the function, often represented in the equation as a horizontal shift.

Front

What is the relationship between sine and cosine functions?

Back

Sine and cosine functions are phase-shifted versions of each other; sin(x) = cos(x - π/2).