How does the period affect the sine and cosine graph

👉 Learn the basics to graphing sine and cosine functions. The sine graph is a sinusiodal graph with x-intercepts at x = 2n*pi, maximun value of 1 at x = pi/2 + 2n*pi and minimum value of -1 at x = -pi/2 + 2n*pi. The cosine graph is a sinusiodal graph with x-intercepts at x = n*pi/2, maximum value of 1 at x = 2n*pi and minimum value of -1 at x = (2n - 1)pi. To graph the sine and the cosine graph, we plot the above points on the x-y coordinate plane and graph accordingly.

After we have graphed the parent graph, we then apply the required transformations to the sine/cosine graph. The amplitude is the maximum point on the graph, the period is the distance/time for a complete oscillation, the phase shift is the horizontal shift from the parent function, the vertical shift is the vertical shift from the parent function.

Organized Videos:
✅ How to Graph Trigonometric Functions
✅ How to Graph Tangent | Learn About
✅ How to Graph Secant | Learn About
✅ How to Graph Sine and Cosine | Learn About
✅ How to Graph Trigonometric Functions | Learn About
✅ How to Graph The Sine Function
✅ How to Graph The Cosine Function
✅ How to Graph The Tangent Function
✅ How to Graph The Cotangent Function
✅ How to Graph Cosecant Function
✅ How to Graph The Secant Function

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[innyikoli]

11 years later and this man is still saving lives

[tj.]

I was so lost before this, you helped me understand it now thank you!!!

[arnavasquez]

Thank you very much sir😊 you help me a lot😊

[charlesamofordjuoh]

thanks for all your sin and cosine videos they are really helpful. Do you have videos on calculus. 

[izyanali]

Is the use of pi/4 universal in the sense that it works for all periods for all the types of graphs? Like can I use it for tangent graphs, and other types of values for amplitude and period, or did you just derive it from the numbers you were working with?

[axleprose]

y(x)=9sin[(2π/4)(x)+(3π/2)] according to this there should be 4 full waves all the way to 2π before the -3 shift. this stuff is not taught clearly and is pissing me off..not saying you but in general. i plug the function in the graph and its not corresponding to what i been taught..plz help