Question

Sketch the graph of each function in the interval from 0 to 2pi

Answer 1

\[y=\sin4\theta\]

Answer 2

what is the normal period of sin?

Answer 3

is it pi or 2pi? i think its 2pi right?

Answer 4

sin repeats at 2pi, a complete circle

so the question is, how fast is the variable changing with the modification

when is 4t = 2pi?

Answer 5

t is frequnecy....so is it 4 times the speed?

Answer 6

yes, 4 times as fast ... so it completes a cycle when t = ....

4t = 2pi

t = 2pi/4

Answer 7

we have 4 cycles complete in the normal 2pi interval

Answer 8

Ohhh ok so it would look something like this.