Trig

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a) Determine the equation of a sine function that would have a range of {y€R|-7<(or equal) Y <(or equal) 1} and a period of 135degrees.

b) determine the cosine function that results in the same function an part (a).

Any help provided will be greatly appreciated.

  • Trig -

    your range is 8, so you need
    4cos ??

    period = 360/k
    360/k = 135
    135k = 360
    k = 8/3

    so far we have
    y = 4cos (8/3)Ø

    that would give us a max value of 4, but we want our max to be 1, so we have to drop our curve by 3 units

    final:
    y = 4cos(8/3)Ø - 3

  • Trig -

    Ok I was wondering why the zero with the slash was in the equation, i have never seen that before!

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