Discussion about math, puzzles, games and fun.   Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫  π  -¹ ² ³ °

You are not logged in.

## #1 2018-06-19 08:37:47

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)

Offline

## #2 2018-06-19 09:28:17

zetafunc
Moderator
Registered: 2014-05-21
Posts: 2,220
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)?

Offline

## #3 2018-06-20 04:07:51

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]

Offline