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Trigonometric Functions Practice Guide

Explore trigonometric functions, amplitudes, and periods with equations and graphing. Visit room 120 during lunch for assistance.

penelope-mcdowell
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Trigonometric Functions Practice Guide

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  1. Homework Pg. 374 #1(d), 2 (e,f), 3(e), 4(b), 5(a), 6(e,f), 7(d), 8(c) • Videos • Links • Powerpoint from class www.nss-gr11.wikispaces.com Having trouble? Come to room 120 any day at lunch for help!

  2. y = asink(x - d) + c a > 1 is a ___________ Ex. y = 3sin(x) has been _____________ to have an amplitude of ____ y = 9cos(x) has been _____________ to have an amplitude of ____ 0 < a < 1 is a ____________ Ex. y = 0.5cos(x) has been ____________ to have an amplitude of ____ y = 0.2sin(x) has been _____________ to have an amplitude of ____

  3. y = 4.5sin(x)a) Graph one cycle of the functionb) State the domain and range of the cycle 4 3 2 1 0 x 90 180 270 360 -1 -2 -3 -4

  4. Determine the equation of the following function 1 0 x 90 180 270 360 -1

  5. y = acosk(x - d) + c New period = 0 < k < 1 is a _____________ Ex. y = sin0.5(x) has been ______________ to have a period of _____ y = cos0.1(x) has been ______________ to have a period of _____ k > 1 is a ________________ Ex. y = cos3(x) has been _______________ to have a period of _____ y = sin4(x) has been ________________ to have a period of _____

  6. y = 3cos2(x) • Graph the function • State the domain and range 4 3 2 1 0 x 90 180 270 360 -1 -2 -3 -4

  7. Determine the equation of the following function 1 0 x 90 180 270 360 -1

  8. Challenge! The point (0.25π, 1) lies on the graph of y = sink(x). Determine k. 1 0 x 90 180 270 360 -1

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