X z2W8X_PRECALC_TrigFunctions x Doja Cat - Vegas (From the ( 1 X * Graphs of Sine and Cosine Work X TextNow X student.ilearn-ed.com/submissions/handouts/11/z2W8X_PRECALC_TrigFunctionsUnitTest.doc PRECALC_TrigFunctionsUnitTest.doc Format Tools Help No Spacing Georgia . BI U A. A . BE 2. Determine whether the graph is y = sinx, y = cosx or neither. Justify your reasoning. 4 TT 5TT 6TT X 3. Identify the amplitude and period of each function, then graph the FOREST TRAIL ACADEMY | WWW.FORESTTRAILACADEMY.COM PRECALCULUS | GRAPHS OF TRIG FUNCTIONS | TRIG FUNCTIONS UNIT TEST function. a) y = - cos (60) OM C O @ # $ & K %z2W8X_PRECALC_TrigFunctions x Doja Cat - Vegas (From the C 41 X * Graphs of Sine and Cosine Work X TextNow X com/submissions/handouts/11/z2W8X_PRECALC_TrigFunctionsUnitTest.doc FunctionsUnitTest.doc No Spacing Georgia 12 - BI U A . A . BEE PRECALCULUS | GRAPHS OF TRIG FUNCTIONS | TRIG FUNCTIONS UNIT TEST 1. Consider the function y = cos x for 8. S x S 10 . a) Identify the x-intercepts of the function on this interval (where will the function cross the x-axis between 8x and 105). b) Identify the maximum value of the function on this interval. c) Identify the minimum value of the function on this interval. d) Sketch the graph of the function on the interval. 9 M 31X z2W8X_PRECALC_TrigFunctions Doja Cat - Vegas (From the C 41 X * Graphs of Sine and Cosine Work X TextNow X ent.ilearn-ed.com/submissions/handouts/11/z2W8X_PRECALC_TrigFunctionsUnitTest.doc CALC_TrigFunctionsUnitTest.doc Tools Help No Spacing Georgia 12 . B Z U A . A . BEEF b) y = 3 sin (0/4) 4. Write the equations of the sine function with an amplitude of 16 and period of 30. 5. Write the equations of the cosine function with an amplitude of 2/4 and a period of 27t/3. 6. Find the angular displacement of 2.9 revolutions. 7. Write the equation of the cosine function with amplitude of 2/3, period of 3:t, phase shift of -2x and vertical shift of 3 units down. M @ # %X z2W8X_PRECALC_TrigFunctions X Doja Cat - Vegas (From the C 41 X * Graphs of Sine and Cosine Work X TextNow X t.ilearn-ed.com/submissions/handouts/11/z2W8X_PRECALC_TrigFunctionsUnitTest.doc ALC_TrigFunctionsUnitTest.doc Tools Help No Spacing Georgia 12 . B Z U A . A . BEE PRECALCULUS | GRAPHS OF TRIG FUNCTIONS | TRIG FUNCTIONS UNIT TEST Identify the amplitude, period, phase shift and vertical shift of each of the following graphs. If there is no phase shift or vertical shift, write "none". FUNCTION AMPLITUDE PERIOD PHASE SHIFT VERTICAL SHIFT 8. f(x) = 4 sin (2X - 5) - 3 9. g(x) = 1/4 cos (x + 7/2) + 1 10. f(x) = - cos (4x + 27) 11. h(x) = 1/2 sin ( 1/2x - t/4) + 3 12. g(x) = -3 cos x + 2 13. The average temperature, in F, for Atlanta, GA is modeled by the sinusoidal function if(t) = 18.25 sin (/ t-2.09) + 61.16, where t is the time in months and January is t = 1. BE a) What is the average temperature for the month of February? OM C Oil % &