Math Is Fun Forum

Anduin

Member

Registered: 2018-05-29

Posts: 3

Precalculus Help

Hello... I am having difficulty trying to solve this problem. I would like an answer to it, but an explanation. Thank you!

Below is the graph of

, for some positive constants

and

. Find

.

[asy]import TrigMacros;
size(400);

real g(real x)
{
return 3*cos(pi/2 - x/2);
}

trig_axes(-3*pi,3*pi,-4,4,pi/2,1);
layer();
rm_trig_labels(-5, 5, 2);
draw(graph(g,-3*pi,3*pi,n=700,join=operator ..));
label("$1$",(0,1),W);
[/asy]

Last edited by Anduin (2018-06-20 04:08:09)

zetafunc

Moderator

Registered: 2014-05-21

Posts: 2,440

Website

Re: Precalculus Help

Hi Anduin,

Welcome to the forum. What features does the graph y = sin(x) have? How do they compare to the graphs y = 2sin(x) and y = 3sin(x)?

Anduin

Member

Registered: 2018-05-29

Posts: 3

Re: Precalculus Help

Thank you! I got the answer!

Can someone also help me with this problem?

Below is the graph of

, where

,

, and

are positive, and

is as small as possible. Find

.

[asy]
import TrigMacros;
size(400);

real g(real x)
{
return -2*sin(2*(x/3 + pi/4))+1;
}

trig_axes(-3*pi,3*pi,-2,4,pi/2,1);
//layer();
rm_trig_labels(-5, 5, 2);
draw(graph(g,-3*pi,3*pi,n=700,join=operator ..));
label("$1$",(0,1),W);
[/asy]