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Algebra II Honors Problem of the Day Homework: p. 452 1a,b,g,3c,d,5,9,13,29,41,43 After watching the video graph y = cos t and y = sin t. graphing the.

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Presentation on theme: "Algebra II Honors Problem of the Day Homework: p. 452 1a,b,g,3c,d,5,9,13,29,41,43 After watching the video graph y = cos t and y = sin t. graphing the."— Presentation transcript:

1 Algebra II Honors Problem of the Day Homework: p. 452 1a,b,g,3c,d,5,9,13,29,41,43 After watching the video graph y = cos t and y = sin t. graphing the sine function

2 Graphs of Sine and Cosine y = sin t and y = cos t Domain: all reals Range: [-1, 1 ] sine is odd, cosine is even period is

3 Amplitude, Period, and Phase Shift When graphing make changes to the basic graph as follows: y = a sin ( bx - c) + k, y = a cos (bx - c) + k Amplitude- multiply the y’s by a Period- divide x ‘s by b Phase Shift - shift right or left c/b units Vertical Shift - up or down k units Sine and Cosine have an overall period of

4 Algebra II Honors Problem of the Day Homework: p. 462 1, 11, 13, 15, 18 Put your calculator in radian mode and find the following indicated tangent values in decimal form. Round your answers to the nearest tenth. Make an xy-chart to list your answers.

5 y = tan x Domain: all Range: all reals tan is odd period is Graphs of the Tangent Function

6 y = a tan (bx - c) + k Amplitude None - but still multiply the y’s by a Period- divide x ‘s by b Phase Shift - shift right or left c/b units Vertical Shift - up or down k units. Tangent has an overall period of


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