/sci/ - Science & Math

What sigma notation formula would give me this series (starting with n = 0):

32 + 80x/1! + (160x^2)/2! + (240x^3)/3! + (240x^4)/4!

?

What can I factor out of
x/(2-x)^2
to end up with 1/(1-?x)^2

>>11281652
Why is GPU introduced so late? I also don't really understand why it's being pitted against CPUs and "Discrete AI". Actually, what even IS discrete AI? That makes it sound like there's dedicated AI cards or something.

How do I solve cos(10°)/sin(80°) without a calculator? According to my book the answer is 1 but I don't even know how to get there.

Why does tan(arctan 4) come out to 4 instead of "not defined" while cos(arccos 1.2) is considered "not defined"?

For that matter, why does arcsin[sin(9pi/8)] come out to -pi/8 instead of "not defined"? I thought all this shit was way out of bounds.

>>10194311
wouldn't this also increase the greenhouse effect and make it even harder for heat that makes its way onto earth to escape?

pic is me btw I'm sincerely asking

guys I'm trying to verify equations in trigonometry and the one I'm working on is:

>secB + tanB = CosB/1 - SinB

I ended up turning the left side into 1 + SinB/CosB, but I don't know what the fuck I'm supposed to do now pls help.

I'm trying to do graphing in trig but I'm fucking retarded and don't understand what I'm doing wrong. Equation I'm given is

>Y = 2 - 3Cos((3/2)x-π)

My Y values seem to be right by themselves (5 at the top, -1 at the bottom), but my X values are all fucked. Five coordinates I'm getting

>(2π/3, 5)
>(π/3, 2)
>(0,-1)
>(-π/3, 2)
>(-2π/3, 5)

Yet when I plug the equation in on desmos the X values are completely different. What the hell am I doing wrong?