What is the amplitude and period of y=3sin(5x)?
Amplitude of a periodic function is the maximum height it reaches above the centre line (or the lowest). This expressed in the equation as '3'. If the 3 was not there, then the sin wave would have an amplitude of 1, however the 3 multiplies the height.
The period is the distance for the periodic function to return to its original position. For example, peak to peak. For a standard sin wave, the period is 2(pi). In this function, the '5' is making the period shorter. Therefore, the period would be 2(pi)/5.
MR
Related Maths A Level answers
All answers ▸How do I add up the integers from 1 to 1000 without going insane?
What is the difference between permutations and combinations?
Integrate 1/(5-2x) for 3≤x≤4
Find the nature of the turning points of the graph given by the equation x^4 +(8/3)*x^3 -2x^2 -8x +177 (6 marks)