Question

Consider the waves represented by the following functions.
(a)
y = 4 sin (3x − 15t)

(b)
y = 6 cos (3x + 15t − 2)

(c)
y = 8 sin (2x + 15t)

(d)
y = 8 cos (4x + 20t)

(e)
y = 7 sin (6x − 24t)

Rank the waves represented by the above functions from the largest to the smallest according to the following conditions. (Use only ">" or "=" symbols. Do not include any spaces or parenthesis around the letters or symbols.)

(i) their amplitudes

(ii) their wavelengths


(iii) their frequencies


(iv) their periods


(v) their speeds

Answer 1

\[Y= A \sin (\omega t + \theta)\] use this and A-- amplitude, omega-- frequency, t --time, theta--phase displacement