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Graph 2 cycles of each function (1 positive, 1 negative). Label tick marks on x- and y- axes with numbers. State the information requested for each function. 1.) y= sin(x)-1. 2.) y=-3 cos(x). +++++. * X. T. at: X .. Amplitude: Period:__ Period: Amplitude: Period: Determine the amplitude and period of each function. Do not graph.
Trigonometry. Name. Pd. Date. Graphing Sine and Cosine. Practice Worksheet. Graph the following functions over two periods, one in the positive direction and one in the negative direction. Label the axes appropriately. 1. Amplitude: Period: Reflection: 2. Amplitude: Period: 3. Amplitude: Period:
Pre-Calculus. 1.5 Graphs of Sine and Cosine Functions. Assignment #44. Period. Group #. Determine the amplitude and period of each function. 1. y = sin 4x y = sin x. 2. y= cos 5x. Amplitude = Amplitude = Amplitude=_ Period =. Period= Period = all y = 4 cos x. Amplitude = Period = 5. y = -2 sin x. Amplitude = 6. y= 2 sin (-4x).
Trig Graphs Worksheet. State the equations for the following graphs. Amplitude = . Period = . Phase Shift = . Equation (1) = (in terms of the cosine function). Amplitude = . Period = . Phase Shift = . Equation (2) = (in terms of the sine function). Page 2. Amplitude = . Period =
Section 7.6 – Graphs of the Sine and Cosine Functions. We are going to learn how to graph the sine and cosine functions on the xy-plane. Just like with any other function, it is easy to do by plotting points. For instance, plot points to graph the line y = 3x – 1: x y = 3x - 1. -2. -1. 0. 1. 2. We will need to use the known trig values
Graphing Sine and Cosine Functions. Recall that the sine and cosine functions relate real number values to the x- and y-coordinates of a point on the unit circle. So what do they look like on a graph on a coordinate plane? Let's start with the sine function. We can create a table of values and use them to sketch a graph.
since the height above ground would correspond to the y value of a point on the circle. We can determine the y value by using the sine function. To get a better sense of this function's behavior, we can create a table of values we know, and use them to sketch a graph of the sine and cosine functions. 1 London Eye photo by
0IwnLf2iwnaiStXen yAhlQggeGbQrXa7 H2q.p. Worksheet by Kuta Software LLC. Kuta Software - Infinite Algebra 2. Name_____________. Period. Date. Graphing Trig Functions. Using degrees, find the amplitude and period of each function. Then graph. 1) y = sin 3?.
Determine the amplitude, period, phase shift, and vertical shift for each. 1. y = 2 sin 3x. 2. y = sin (x ? ?). 3. y = 3 cos 4x. 4. y = 3 sin 6x ? 3. 5. y = cos 2x ? 5. 6. y = cos (x ? ?). 7. y = 1. 4 sin 2x. 8. y = 3 cos. 1. 2 x + 4. Sketch the graph of each function for one period. 9. y = sin 2x + 3. 10. y = cos 2x ? 1. 11. y = sin (x ? ?) ? 1.
The black portion of the graph represents one period of the function and is called one cycle of the sine curve. The domain of the sine and cosine functions is the set of all real numbers. The range of each function is the interval [–1, 1]. Each function has a period of 2?.

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