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# Help Chapter 9 function AS Maths watch

Consider the function f(x)=sinpx, pER, 0 less than or equal to x less than or equal to 360. The closest point to the origin that the graph of f(x) crosses the x axis has coordinates 36 degrees.
1. Determine the value of p and sketch the graph y=f(x) answer is p=5
2. Write down the period of f(x)
Thank you
2. The curve y=sinx crosses the x axis at 180 degrees - closest root to the origin.
If for y=sin(px) this point is now at 36 degrees then the curve must have been 'compressed' by a scale factor of 180/36=5 (stretched by a scale factor of 1/5 more precisely), so p is 5.
Assuming you know what the period of a periodic function is, finding the period of f should be straight forward.

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Updated: October 12, 2017
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