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Thread: Transformations of Trigonometric Functions

  1. #1
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    Question Transformations of Trigonometric Functions

    Hi! I just need help with simplifying an equation so I can apply the transformations. The equation is y=0.5sin(x/4-pi/16)-5. I know I have to pull out x/4 from the pi/16 but I'm not sure how to go about doing so.
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    Re: Transformations of Trigonometric Functions

    Quote Originally Posted by closedloop View Post
    Hi! I just need help with simplifying an equation so I can apply the transformations. The equation is y=0.5sin(x/4-pi/16)-5. I know I have to pull out x/4 from the pi/16 but I'm not sure how to go about doing so.
    Not exactly sure what you mean by transformations.

    Are you trying to make x the subject?
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    Re: Transformations of Trigonometric Functions

    Or are you tying to graph it?
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    Re: Transformations of Trigonometric Functions

    I'll assume graphing … try factorising out 1/4 from the bracket.
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    Re: Transformations of Trigonometric Functions

    It is graphing but factoring 1/4 out doesn't work because it's x/4. I just need the simplified equation and how to get there
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  6. #6
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    Re: Transformations of Trigonometric Functions

    Quote Originally Posted by closedloop View Post
    It is graphing but factoring 1/4 out doesn't work because it's x/4. I just need the simplified equation and how to get there
    That's exactly why you need to factorise out 1/4.

    $\displaystyle y = 0.5*sin(\frac{1}{4}(x-\frac{pi}{4}))-5$

    then you can identify the 4 transformations
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