How To Graph Trigonometric Functions | Trigonometry 

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MR. Organic Chemistry Tutor, thank you for showing high school and college students How to Graph Trigonometric Functions the correct way. You are the first instructor that showed me How to Graph Trigonometric Functions the correct way.

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First few mins in and I already understood a bit better thanks. My instructor in trig has been doing it for awhile and leaves vital info out during his lecture vids.

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For anyone wondering how he figures out the tick mark values on the x-axis: there are 5 critical points in the sin/cos cycle. Look at a one cycle of a cos/sin graph, and there will be 5 values: 2 values dictating the upper/lower bounds (y-axis values), and 3 values that will cross the x-axis (zeros). In order to find those critical point values (if you're dealing with a phase-shift), you find the value of the phase shift (0=Bx+c, solving for x), and then you add pi/2 recursively. For example, for y=sin(x+pi/3), the graph will start at x=-pi/3. Critical point #1 is -pi/3. To find critical point #2, -pi/3 + pi/2 = pi/6. To find critical point #3, pi/6 + pi/2 = 2pi/3. And so on until you have 5 values. You can use a calculator to add everything to make it easier. if you're still having trouble, google LibreText Mathematics section 2.4 on Phase shift.

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To Sum Up: For equations y=a sin(bx) and y=a cos(bx), |a| is the highest y value point on the graph and -|a| is the lowest y value point on the graph. |b| represents the frequency of the graph or 2pi/b

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I don't get it at the level of 15:15 because of the graph extending to 4pii and why is the negative y-axis is upto -3 .

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Hi,just wanna enquire act y do we put pie values and not actual real values such as 90,180,360 and so on🤔

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you can also think of B as the number of cycles within a length of 2π

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How did you get 3pie/2? 19:07

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Thanks Mr, but that function of y=2cos(x)-1 the period is in 360 degrees, or am I confused.

Mistake at 21:48 it should be 5 pi/2 not 4. Great Video regardless.

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Do you have a video for Analysis of Variance (ANOVA)?

Now let's talk about.. graphing.. ..TRIGONOMETRIC FUNCTIONS.

What's the period of the function y= sin x + cosx???

At 21:50 the number in between 5 and 1 should be 3 on the y-axis of the graph.

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how do you know how many key points the graph are that's where I'm having a hard time

at 17:45 isn’t the general form of sine function is asinx(bx-c)+d?

13:09 TS

can you do a video regarding trigonometry inequalities 🙏

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