Graphing trig functions

Front

What is the equation of the graph for a vertical stretch of 5 applied to the cosine function?

Back

y = 5 cos x

Front

What is the equation of the graph for a vertical stretch of 2 applied to the sine function?

Back

y = 2 sin x

Front

What is the equation of the graph for the cosecant function?

Back

y = csc(x)

Front

Back

right 2pi

Front

Back

4pi

Front

What is the general form of a sine function?

Back

y = A sin(B(x - C)) + D, where A is the amplitude, B affects the period, C is the phase shift, and D is the vertical shift.

Front

What is the general form of a cosine function?

Back

y = A cos(B(x - C)) + D, where A is the amplitude, B affects the period, C is the phase shift, and D is the vertical shift.

Front

How do you determine the amplitude of a trigonometric function?

Back

The amplitude is the absolute value of A in the function y = A sin(B(x - C)) + D or y = A cos(B(x - C)) + D.

Front

What is the period of the sine and cosine functions?

Back

The period is given by the formula \( \frac{2\pi}{|B|} \) where B is the coefficient of x.

Front

What is the effect of changing the value of B in the sine or cosine function?

Back

Changing B affects the period of the function; a larger B results in a shorter period.