# 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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