Ans:
(a) One cycle
(b) 2π
(c) 2
Explanations:
(a) There is only one cycle in the given graph. As one cycle in this case = one crust + one trough. Other way to look at it as the following: the wave starts at 0 and at 2π it ends (as the circle starts at 0 and gets back at 360° = sine wave in polar coordinates).
(b) Always remember the period of the sines and cosines are given by the following expression:
Period =
Where
B = the number or the term with θ. In this case it is 1.
Hence Period = 2π
(c) The amplitude of the sine wave in the given graph is the maximum y value this graph reaches. In this case it is y = 2. Hence amplitude = 2. If the function is given like in this case then the general form of the wave function is: y = Asinθ
Where A = Amplitude = 2 (in this case)