Graphs of the Sine and Cosine Functions definitions Flashcards
Graphs of the Sine and Cosine Functions definitions
You can tap to flip the card.
Control buttons has been changed to "navigation" mode.
1/15Skip to main content
Unit Circle A circle with radius 1 centered at the origin, used to define sine and cosine values based on coordinates. Wave Pattern A repeating, smooth curve seen in sine and cosine graphs, resulting from their cyclical nature. Crest The highest point reached by the graph of a wave, also called a peak. Trough The lowest point reached by the graph of a wave, also called a valley. Amplitude The distance from the midline to a peak or trough, indicating the height of the wave. Midline A horizontal line that runs through the center of a wave, equidistant from crests and troughs. Vertical Shift A transformation that moves the entire graph up or down by adding a constant to the function. Reflection A transformation that flips the graph over the x-axis, caused by a negative multiplier. Period The horizontal length required for a wave to complete one full cycle on the x-axis. Cycle A complete sequence of values in a wave, starting and ending at the same point on the graph. Coefficient A number multiplying the variable inside the function, affecting the period or amplitude. 2π The standard period for basic sine and cosine functions, representing one full rotation around the unit circle. Horizontal Stretch A transformation that widens the graph, occurring when the coefficient of x is between 0 and 1. Horizontal Shrink A transformation that compresses the graph, occurring when the coefficient of x is greater than 1. Peak A point on the graph where the function reaches a local maximum, synonymous with crest.