Pre calculus Problem of the Day Homework: p , 11, 17, 23, 25, 35, 39, 43, 49 Find the indicated function values for the following:

Graphs of Sine and Cosine y = sin x and y = cos x Domain: all reals Range: [-1, 1 ] sine is odd cosine is even sin(-x) = -sinx cos(-x) = cosx period is

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

Pre calculus Problem of the Day Homework: p all, p odds, not 19 Find each value:

Graphs Tangent and Cotangent y = tan x Domain: all Range: all reals tan is odd period is y = cot x

Pre calculus Problem of the Day Homework: p odds, odds Name the domain and range for the following trigonometric functions: a) sine b) cosine c) tangent d) cotangent

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