1. 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.

2. Re: Transformations of Trigonometric Functions

Originally Posted by closedloop
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?

3. Re: Transformations of Trigonometric Functions

Or are you tying to graph it?

4. Re: Transformations of Trigonometric Functions

I'll assume graphing … try factorising out 1/4 from the bracket.

5. 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

6. Re: Transformations of Trigonometric Functions

Originally Posted by closedloop
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