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What are sine and cosine graphs?

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What are sine and cosine graphs?

The basic sine and cosine functions have a period of 2π. The function sin x is odd, so its graph is symmetric about the origin. The function cos x is even, so its graph is symmetric about the y-axis. The graph of a sinusoidal function has the same general shape as a sine or cosine function.

Are Cos and sin graphs the same?

The graphs of sine and cosine have the same shape: a repeating “hill and valley” pattern over an interval on the horizontal axis that has a length of . The sine and cosine functions have the same domain—the real numbers—and the same range—the interval of values .

What does a sine graph look like?

To graph the sine function, we mark the angle along the horizontal x axis, and for each angle, we put the sine of that angle on the vertical y-axis. The result, as seen above, is a smooth curve that varies from +1 to -1. Curves that follow this shape are called ‘sinusoidal’ after the name of the sine function.

What features are unique to sine and cosine graphs?

The sine and cosine functions have several distinct characteristics:

  • They are periodic functions with a period of.
  • The domain of each function is and the range is.
  • The graph of is symmetric about the origin, because it is an odd function.
  • The graph of is symmetric about the axis, because it is an even function.

Does a sine graph always start at 0?

Plot of Sine The Sine Function has this beautiful up-down curve (which repeats every 2π radians, or 360°). It starts at 0, heads up to 1 by π/2 radians (90°) and then heads down to −1.

What is the difference between the sine and cosine rule?

The sine rule is used when we are given either a) two angles and one side, or b) two sides and a non-included angle. The cosine rule is used when we are given either a) three sides or b) two sides and the included angle. Study the triangle ABC shown below. Let B stands for the angle at B.

How do you find the sine graph?

When finding the equation for a trig function, try to identify if it is a sine or cosine graph. To find the equation of sine waves given the graph: Find the amplitude which is half the distance between the maximum and minimum. Find the period of the function which is the horizontal distance for the function to repeat.