Student Dashboard X z2W8X_PRECALC_TrigFunctions X P8ME_PRECALC_TrigIdentitiesl x New Tab om/submissions/handouts/11/z2W8X_PRECALC_TrigFunctionsUnitTest.doc X FunctionsUnitTest.doc lormal B 2. Determine whether the graph is y = sinx, y = cosx or neither. Justify your reasoning. 5TT 6 7T 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) b) y = 3 sin (0/4) M 31 110 O @ 2 4 5 B O y UStudent Dashboard X z2W8X_PRECALC_TrigFunctions x X P8ME_PRECALC_TrigIdentities| X New Tab ed.com/submissions/handouts/11/z2W8X_PRECALC_TrigFunctionsUnitTest.doc rigFunctionsUnitTest.doc Help Normal B I U A . A . BE PRECALCULUS | GRAPHS OF TRIG FUNCTIONS | TRIG FUNCTIONS UNIT TEST 1. Consider the function y = cos x for 8at S x S 101. a) Identify the x-intercepts of the function on this interval (where will the function cross the x-axis between 8x and 10). 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. 31Student Dashboard X z2W8X_PRECALC_TrigFunctions x | P8ME_PRECALC_Trigidentities x New Tab om/submissions/handouts/11/z2W8X_PRECALC_TrigFunctionsUnitTest.doc FunctionsUnitTest.doc Normal - B Z U A . A . 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 2t/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 1, phase shift of -2xt and vertical shift of 3 units down. 9 M 31 O Oil C K & O @ # 7Student Dashboard x z2W8X_PRECALC_TrigFunctions x P8MZE_PRECALC_Trigidentities > New Tab om/submissions/handouts/11/z2W8X_PRECALC_TrigFunctionsUnitTest.doc FunctionsUnitTest.doc Normal BIUA. A. 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 + t/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? b) What is the average temperature for the month of June? M C D C O % 8 @ # 6 5 4 IN 3 O y U