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 you do algebraic long division?
The equation f(x) =x^3 + 3x is drawn on a graph between x = 0 and x = 2. The graph is then rotated around the x axis by 2π to form a solid. What is the volume of this solid?
Differentiate: y = 4x^3 - 5/x^2
If z1 = 3+2i, z2= 4-i, z3=1+i, find and simplify the following: a) z1 + z2, b) z2 x z3, c)z2* (complex conugate of z2), d) z2/z3.