Please help me solve this... I'm completely stuck....
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)
Answer is 72 degrees
Help Chapter 9 function AS Maths Watch
- Thread Starter
- 12-10-2017 20:22
- 12-10-2017 21:29
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.