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Exercises - Graphing Trigonometric Functions

  1. Graph the following for 2πx2π.

    1. y=4cosx

    2. y=sin23x

    3. y=4cos(2x3π2)

    4. y=sin(xπ6)

    5. y=12sinx












  2. Graph the following.

    1. y=85cos(x5+π3) over [5π,10π]

    2. y=4sin(2xπ6) over [π,2π]

    3. y=52cos(2x+π4) from π to π

    4. y=cos(x+π4) from 2π to 2π










  3. Graph the following.

    1. y=1+cosx for 2πx2π

    2. y=2sinx from π to 3π2

    3. y=2+2sin(x3π6) from π to 2π

    4. y=23cos2x over [2π,π]   (omit finding the x-intercepts)










  4. Graph the following. Label interecepts and other important features (e.g., asymptotes)

    1. y=tanx over [2π,2π]

    2. y=secx from π to π

    3. y=12tan2x from 5π4 to 3π8

    4. y=csc3x for π2x5π6

    5. y=2tanx2 from 3π to 5π2

    6. y=csc(4x+π) from π2 to π2