pre calc/trig

[split pumice]

how do i find the period on the graph?

[versed pelican]

The period is basically how often the graph repeats

You can usually figure it out by comparing peak to peak

For sin and cos waves just subtract the $x$-coordinate of one peak from the $x$-coordinate of the closest one to it to the right

[queen flame]

flynger

[split pumice]

so would it be 10

[split pumice]

so the period is 2?

never mind i got pi/2 and it worked

how do i gind C tho

i have h(x)=2.5sin(4theta)

but it says im wrong

[versed pelican]

First of all choose sin or cos based on whats easier

if theres a peak or dip at 0 you want to go cosine

since cos0=1

in this case theres a peak of 2.5 at 0 so choose 2.5cos

For the inside remember that cos has a period of 2pi

we want the period to become pi/2, so we want to shrink the graph horizontally by 4

Hence 4 theta

Thus $f(\theta)=2.5\cos4\theta$

[queen flame]

flynger