What determines the period of a sine graph?
What determines the period of a sine graph?
The period of the sine curve is the length of one cycle of the curve. The natural period of the sine curve is 2π. So, a coefficient of b=1 is equivalent to a period of 2π. To get the period of the sine curve for any coefficient b, just divide 2π by the coefficient b to get the new period of the curve.
What is the five point pattern for the sine function when a 0?
The sine wave is at zero (that is, on the x-axis) at x = 0, π, and 2π; it is at 1 when x = π/2; it is at –1 when x = 3π/2. Plot these five points, and then fill in the curve. As you can see from the extended sine and cosine graphs, each curve repeats itself regularly. When you graph, don’t try to plot loads of points.
What is the 5 point method?
The 5-Point Method is an easy way to graph one cycle of a trig function. points), dividing the period by four will give you the distance between each point.
How often does the sine graph repeat?
The graph has a period of 360°. This means that it repeats itself every 360°.
What is the graph of sine function?
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.
How do you graph the sine and cosine graph?
The cosine graph is a sinusiodal graph with x-intercepts at x = n*pi/2, maximum value of 1 at x = 2n*pi and minimum value of -1 at x = (2n – 1)pi. To graph the sine and the cosine graph, we plot the above points on the x-y coordinate plane and graph accordingly.
What is the amplitude of the basic sine function?
For a basic sine or cosine function, the period is 2π. For a basic sine or cosine function, the maximum value is 1 and the minimum value is -1, so the amplitude is 1. 2 1 ( 1) = −− 3 We’ll start with the graph of the basic sine function, )f x( ) =sin( x . The domain of this function is (−∞, ∞)
What are the five key points for graphing y = sin x?
Your book identifies five key points for graphing y = sin x (page 518). They are the three x-intercepts, the maximum point, and the minimum point. All of these are on your unit circle.
What are the transformations of Sine and cosine functions?
7 Now we’ll turn our attention to transformations of the basic sine and cosine functions. These functions will be of the form f x( ) =Asin( Bx −C) +D or g x( ) =Acos( Bx −C) +D.We can stretch or shrink sine and cosine functions, both vertically and horizontally.
