Unit 1 Part II Graphing Trig Functions Flashcard

Front

What is the period of the sine and cosine functions?

Back

The period of both y = sin(x) and y = cos(x) is 2π.

Front

What is the equation for the tangent function?

Back

The equation for the tangent function is y = tan(x).

Front

What is the midline of the function y = 2cos(1/3x + π/6) + 2?

Back

The midline is +2.

Front

Which equation represents a vertical shift of the sine function?

Back

f(x) = 3sin(2x) + 1 represents a vertical shift up by 1.

Front

What is the value of tan(sin^(-1)(-1/2))?

Back

The value is -√3/3.

Front

How do you find the amplitude of a trigonometric function?

Back

The amplitude is the coefficient in front of the sine or cosine function.

Front

What is the effect of changing the coefficient of x in the function y = sin(kx)?

Back

Changing the coefficient k affects the period of the function; the period is 2π/k.

Front

What is the range of the function y = 3sin(x)?

Back

The range is [-3, 3].

Front

How do you determine the phase shift of the function y = sin(x - π/4)?

Back

The phase shift is π/4 to the right.

Front

What is the relationship between sine and cosine functions?

Back

sin(x) = cos(π/2 - x).