The graph of y = cos ( 2 x pi/2 )

y = cos ( 2 x pi/2 ) = cos (pi x)

The property of y = A cos Bx is:

(1). Its amplitude = |A|

(2). Its period = 2 pi/B

(3). Its curve will repeat along positive and negative direction in x-axis.

For function y = cos ( pi x )

A = 1, B = pi, period = 2 pi/B = 2pi/pi = 2

When x is in the interval of [0, 2], y = cos pi x finish the first cycle.

When x is in the interval of [2, 4], y = cos pi x finish the second cycle.

When x is in the interval of [4, 6], y = cos pi x finish the third cycle.

The curve will repeat along the x-axis in the interval of 2.

Reference more examples in this subject by

(1). In home page, click Trigonometry in left panel, click The Graphs of Sine Function and Transformation link. Or,

(2). Click Free Math Sign In menu, click Trigonometry icon, click the link you interested, when finish this section, click Back, click Sign Out button. Or,

(3). Click Member Math Sign In menu, click Trigonometry menu, click Trigonometry button, click Properties of the graphs of Cosine function y = A cos (Bx - C) or other links you interested, when finish this section, click Back, click Go to member home page, click Sign Out button.

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