/sci/ - Science & Math

[Anonymous No.6840346]

How would one determine how to draw the graph of y=sin(x^2), y=Cos(x^2), y=Tan(x^2) etc

I am totally lost as to how you would determine the period or why the period seems to converge together.

[Anonymous No.6840352]

It would just be a normal sine/cos/tan graph except the period gets shorter (repeats in less x units) as you get further away from the y axis, and reflected across the y axis because of the x^2 factor.

[Anonymous No.6840353]

>pls respond

[Anonymous No.6840354]

>>6840352
Why does the period get shorter as you move further away from y? I feel like I'm totally overlooking something basic. Although I appreciate that it would be reflected as they are even functions.

Thanks

[Anonymous No.6840355]

>>6840346
>why the period seems to converge together.
The periods of the trig functions are steady if their argument increases steadily (i.e. in a constant manner. However, x^2 increases ever faster, and so each resulting period is shorter.

[Anonymous No.6840356]

>>6840354
x increases faster so it starts going through its period more quickly.

[Anonymous No.6840365]

>>6840356
Out of curiosity, is period decreasing by a scale factor of 1/x ?

[Anonymous No.6842061]

>why the period seems to converge together
you keep using that word...

anyway, the zeros of sin(x) are integer multiples of pi, so the zeros of sin(x^2) are sqrt(n*pi) for nonnegative integers n. basic asymptotics tell us that the difference between consecutive zeros is ~sqrt(pi/n)/2.