6.6 Graphs of Sine and Cosine Functions; Phase Shift. These two sections flow together, so I'll cover them both at once. We will focus on sine and cosine graphs. Period: How long it takes the graph to repeat itself. For sine graphs, the period is ?2 . Amplitude = 2 value. Lowest value. Highest. ?.
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?.
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?.
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
Worksheet by Kuta Software LLC. GSE Pre-Calculus. Graphing Sine and Cosine H r xA_lNlB UrziagwhstQsn vrxeBsfeKrCvneId. -1-. Using radians, find the amplitude and period of each function. Then graph. 1) y = 3cos 2q. - p. 4 p. 4 p. 2. 3p. 4 p. 5p. 4. 3p. 2. 7p. 4. 2p. -6. -5. -4. -3. -2. -1. 1. 2. 3. 4. 5. 6. 2) y = cos 3q.
Pre-Calculus. 1.5 Graphs of Sine and Cosine Functions. Assignment #44. Period. Determine the amplitude and period of each function. 1. y = sin 4x. Amplitude = l. Period = 1&2. 4. y = 4 cos x. Amplitude = 0171". Period = 7. y = 3 sin Ex. 3. Amplitude: 3. Period: 2 l. 2. y 2 cos 5x. Amplitude = l. “1. Period: ELK 5. 5. y = «2 sin x.
Give the amplitude and period of each function. Then sketch the graph of the function over the interval –. 2? ? x ? 2? using the key points for each function. 14. y = 3 sin x. 15. y = 2 cos x. Amplitude = . Amplitude=. Period = __. Period=
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.

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February 2018