The sine and cosine curves y a sinkx and y a coskx k 0 ha

The sine and cosine curves y = a sin(kx) and y = a cos(kx), k > 0 have amplitude______ and period _____: . . The sine curve y = 4 sin(2x) has amplitude______ and period________

Solution

General sine and cosine function : y = AsinBx ; y = AcosBx

where A is amplitude and Period = 2pi/B

So, for y = asin(kx) amplitude = a

period = 2pi/b

y = acos(kx)

amplitude = a ; period = 2pi/k

y = 4sin2x

amplitude A = 4

Period = 2pi/2 = pi