May 30, 2020, 03:59:04 pm

AuthorTopic: Mathematics - trignomic functions  (Read 270 times)

0 Members and 1 Guest are viewing this topic.

Lydia.k

• Posts: 7
• Respect: 0
Mathematics - trignomic functions
« on: June 24, 2019, 07:45:21 am »
0
Hey,

I am not sure how to sketch the following, as was wondering if anyone could help me?

Sketch y=sin(x+pi) for 0<X<2pi

Cheers,
Lydia

RuiAce

• ATAR Notes Lecturer
• Honorary Moderator
• Great Wonder of ATAR Notes
• Posts: 8737
• "All models are wrong, but some are useful."
• Respect: +2516
Re: Mathematics - trignomic functions
« Reply #1 on: June 24, 2019, 08:32:59 am »
+1
Hey,

I am not sure how to sketch the following, as was wondering if anyone could help me?

Sketch y=sin(x+pi) for 0<X<2pi

Cheers,
Lydia

Start by sketching $y = f(x)$, where $f(x) = \sin x$.

Then $f(x+\pi) = \sin(x+\pi)$, so you’re after the curve $y=f(x+\pi)$. Recall that this is a translation of $y=f(x)$ to the left by $\pi$ units, so that’s what huh need to sketch.

(Note that the graph will correspond to that of $y=-\sin x$. This is not a coincidence, because $\sin(x+\pi)=-\sin x$ is a trigonometric identity for third quadrant angles.)
« Last Edit: June 24, 2019, 09:40:33 am by RuiAce »

Lydia.k

• Posts: 7
• Respect: 0
Re: Mathematics - trignomic functions
« Reply #2 on: June 24, 2019, 09:38:33 am »
0
Thanks a lot