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 ▸Let f(x) = 2x^3 + x^2 - 5x + c. Given that f(1) = 0 find the values of c.
What is the definite integral of 2x^2 + 4x + 1 with a lower limit of 3 and a higher limit of 6?
Find the integral I of e^(2x)*cos*(x), with respect to x
The curve C has equation 16*y^3 + 9*x^2*y - 54*x = 0 a)Find dy/dx in terms of x and y