How would I know the difference between the sine and cosine graphs after they have been shifted? Sometimes a shifted cosine graph can look just like a regular sine graph so is there any way I can tell the difference when comparing? Some of my HW questions asked me to create the equation from scratch by looking at a pre-made graph and I was worrying for some of them because I couldn't tell if it was just a regular sine graph or a shifted cosine graph. plz help
Turn the graphs 90° the graph which makes the shape of letter "S" is a sin graph and "c" is a cos graph Another thing sin starts from 0 but cos starts from 1
@@pianoguy5110 I appreciate the comments but I ended up studying so hard that I eventually jammed it into my brain😂. Guess it worked out because I got a 96 in the class. Let’s hope I keep similar results this semester in calculus. Once again tho, thanks for the comment. Good luck on all future endeavors!
Thank you very much sir... I understood the graph concept of sine and cosine properly. The use of circle radian value system help a lot in my case....Love from India....
If you divide a quadrant of a circle in 4 equal parts that would mean that each part is 22,5 degrees (90÷4). You make it seem like the sine of 22,5 degrees is 0,5 instead the sine of 30 degrees is 0,5. Or am I misinterpreting your drawing?
I think you are misinterpreting the drawing. When I draw those common angles they are not evenly spaced out. The 45 degrees is have way. but the 30 and the 60 are 1/3 and 2/3 of that first quadrant. Let me know if that helps. :^D
Thank you! have explained it well and clearly how to draw the sin and cos graphs in trigonometry but in what case would the sin or cos graph start as negative..??!! The answer is needed asap because I have exam!!
Pi is common number when working with radians, so its helpful to think how this number gets divided up. After a bit of practice you'll get good at being able to visualize where the common radian angles are. :^D
You see that the value of Sin 0 is 0 , so it started from the origin but the value of Cos 0 is 1 so it started from the top of the graph .... Note , sir drew the radian circle value for Sine theta only....you could similarly draw it for cosine....It is just the reverse of Sine....
When working with numbers, "pi" ends up being a natural number to use. When dealing with growth the number is "e". It all depends on what your context is, and what values make the most sense. Hope that helps. :^D
You can represent the distance around a circle (with a radius of 1) as 2pi. What you are seeing then is how we can use these distance markers like angles. If we go all the way around, then we have the entire circumference of 2pi. :^D
@@MySecretMathTutor This is why tao makes much more sense than pi. Pi was a mistake and I blame Euler (even though the concept of pi existed long before him) :). 2pi and trigonometric functions is where students really start to lose interest because pi represents 1/2 a period, and it gets all sorts of screwed up because it’s not intuitive. If you move over a circle starting at 0 by 1/4 then that’s 1/2 pi radians, if you move by a half (to 180 degrees) then that’s 1 pi radians, etc. It’s a mess. Tao IS MUCH cleaner because it’s perfectly intuitive. If you move by 1/4 (90 degrees) then that’s 1/4 tao radians, by 1/2 then that’s 1/2 tao radians, it’s perfectly intuitive because tao represents the entire unit.
