Sine or Cosine Writing Equations Given Graph

Is the graph a sine or cosine graph and which function should you use when writing the equation. We discuss sine and cosine equations in this free math video tutorial by Mario's Math Tutoring.

0:11 Example 1 Write the Equation of the Sinusoidal Graph
0:42 Draw Midline of Graph to Find Vertical Shift
1:10 How to Find Amplitude
1:30 Deciding Whether to Use Sine or Cosine
1:40 Parent Function Graphs for Sine and Cosine
2:01 How to Calculate the Period
2:27 Formula for Calculating the Period
2:58 Representing the Graph as a Reflected Cosine Equation
3:37 Representing the Graph with a Sine Equation
4:22 Representing the Graph with a Reflected Sine Equation
4:56 Representing the Graph with a Shifted Cosine Equation

Related Videos:

Graphing Sin and Cos

Finding a Sinusoidal Equation Given a Maximum and a Minimum

Looking to raise your math score on the ACT and new SAT?
Check out my Huge ACT Math Video Course and my Huge SAT Math Video Course for sale at

For online 1-to-1 tutoring or more information about me see my website at:

* Organized List of My Video Lessons to Help You Raise Your Scores & Pass Your Class. Videos Arranged by Math Subject as well as by Chapter/Topic. (Bookmark the Link Below)

[filmsbysteve]

It's currently 12:44am, and you sir have just saved me. You will never know how grateful I am for this video lol!

[lionel]

You deserve the best teacher, just saved me from confusion.

[anniquequarlesvanufford]

Well, guess who just saved me from failing my trig exam! My teacher tried to explain this but it never made sense till this video!

[emilyt]

Thank you so much! Watched about five videos before this and none of them explained this concept as well as you. So glad that I found your channel!

[Punicia]

Thank you Mario. This is the only video that actually helped me with this topic. I appreciate your ability to make the concept very clear when my teacher can't. +1

[DrLiangMath]

Your explanation was so systematic, clear and easy to understand. Thanks👍

[AnnetteCompean]

Dude you just helped me so much! Thank you our teacher didn’t really explain this at all!! he gave us one problem and told us to learn from that!!

[piercepryce]

You make things so easy to understand thank you

[MusanGreen]

You are a born teacher. Thank you so much for all your efforts and dedication.

[shashwatpriyadarshi]

Sir even though Iam a doctor and not a student of mathematics then also I could make sense of it, that just goes to show what a great teacher you are.
Some stupid questions from this doctor-
Why are waves represented as sine or cosine functions?
Use of integral and differential equations in practical life

[sonyavalkova]

My math test is next period, and thank you so much for saving me to relieve some stress!

[passionatepro]

ITS 7:50 IN THE NIGHT AND YOU SIR HAVE JUST SAVED ME. YOU WILL NEVER KNOW HOW GRATEFUL I AM FOR THIS VIDEO LOL

[jamilaherrera]

Thank you so much this helped me understood the most confusing thing my teacher tried to teach us

[luisv]

Mario always bringing great helpful videos thanks Mario!

[Olivia-sygo]

Thank you SO much I was struggling so much with this and you made everything click!

[paulcanovas]

Thank you so much! Helping me prep for finals!

[businessman]

Wow, never knew Johnny Sin is a good mathematics teacher.

[AlexSchmidt-wy]

I hope this message finds you well. I've been following your YouTube math tutorials and find them incredibly helpful. I have a few questions and was wondering if you could guide me on how best to contact you for some questions. If possible?

[aavasapkota]

Thank you so much!! This was so helpful :D

[김태훈-vi]

I really appreciate that you shoot this video! I'm gonna subscribe your channel!!