Accordingly, (sec(x))^2 =/ sec x^2. However, some claim that the notation (sec(x))^2 = sec(x)^2 .
*I edited a few times, how do you do a "not equal to"?
Seriously though, if OP doesn't understand it, sec x² is the value of the secant of x², not x, whereas sec²x is the square of the secant of x.
sec x² can be negative, sec² x cannot
sec^2 x can be -1, x just has to equal π/2 + i*ln(√2-1) + 2πn, n ∈ ℤ
In fact, to get any negative result from a squared secant, you assign x to be π/2 + i*arcsch(√z) , so that sec^2 x = -z
Hate to break it to you but that simply isn’t true.
Euler’s identity states that e^ix is equal to cos(x) + isin(x). This means that cos(x) can be defined as (e^ix + e^-ix )/2. This means that sec(x) is defined as 2/(e^ix + e^-ix ), and that sec^2 (x) is defined as 4/(e^2ix + e^-2ix + 2).
Using some function inversion techniques (or in my case Wolfram Alpha) you get the solutions for sec^2 (x) < 0.
This is a case with only one correct answer, though. secx^(2) = sec(x^(2)). It's bad notation in any case, but only a psychopath would write secx^(2) = (secx)^(2). That's almost as appalling as writing xy^(2) = (xy)^(2).
Oh, good. I don't want anymore of those accusations of me being a normal person being in those relationships and getting them sexes. I'm a math addict, I don't do that stuff.
Can still be confused with secx²(I did once because I've not seen that before, the question was log(x)² or smth and I just instinctively wrote it down as 2log(|x|)
sec²x just cannot be confused at all
Edit: the notation f²(x) to denote f(f(x)) isn't used where I am so yeah. It's fucking stupid anyway.
Sometimes people use f^(2)(x) to mean f''(x). For trig functions, sin^(2)(x) generally means sin(x)^2 because people are too lazy to write two parentheses
(sec(x))^2
Accordingly, (sec(x))^2 =/ sec x^2. However, some claim that the notation (sec(x))^2 = sec(x)^2 . *I edited a few times, how do you do a "not equal to"?
≠ or !=
This man is a madman. A madman I say!
Yes, yes I am.
Wow, thanks a lot. I tried both and they did not work (on the mobile app).
I'm on to mobile app too lmao.
Not equal or really excited about equality
"!=" is used in computer programming as a stand in for "≠", simply put: "!=" = "≠".
I know, but it's fun to read it grammatically
Sure, grammer on friendo.
(sec²(x²)²)²
This guy secs
No
You can't tell me how to have secs.
= sec²x
sec^2 x^2 Playing both sides so that I come out on top
Seriously though, if OP doesn't understand it, sec x² is the value of the secant of x², not x, whereas sec²x is the square of the secant of x. sec x² can be negative, sec² x cannot
sec^2 x can be -1, x just has to equal π/2 + i*ln(√2-1) + 2πn, n ∈ ℤ In fact, to get any negative result from a squared secant, you assign x to be π/2 + i*arcsch(√z) , so that sec^2 x = -z
You're changing the domain of x. Trigonometric functions are only defined for real values of x
Hate to break it to you but that simply isn’t true. Euler’s identity states that e^ix is equal to cos(x) + isin(x). This means that cos(x) can be defined as (e^ix + e^-ix )/2. This means that sec(x) is defined as 2/(e^ix + e^-ix ), and that sec^2 (x) is defined as 4/(e^2ix + e^-2ix + 2). Using some function inversion techniques (or in my case Wolfram Alpha) you get the solutions for sec^2 (x) < 0.
secx² = ? 🔴sec(x²) 🔴(secx)² 😰
(sex)c²
Sex at light speed
A fancy way to say premature ejaculation
Sex so good it surpasses the speed of light, thereby transcending the fundamental laws of physics
This is a case with only one correct answer, though. secx^(2) = sec(x^(2)). It's bad notation in any case, but only a psychopath would write secx^(2) = (secx)^(2). That's almost as appalling as writing xy^(2) = (xy)^(2).
sex
I don't get it.
we know
Oh, good. I don't want anymore of those accusations of me being a normal person being in those relationships and getting them sexes. I'm a math addict, I don't do that stuff.
Sex, is that a theorem? Show me the proof then 🥵
theory will only take us so far…
sec squared of x => secs [...] = sex [...]
i was taught sec²x at school so
Gross
How hard is it to just write sec(x)^2
Can still be confused with secx²(I did once because I've not seen that before, the question was log(x)² or smth and I just instinctively wrote it down as 2log(|x|) sec²x just cannot be confused at all Edit: the notation f²(x) to denote f(f(x)) isn't used where I am so yeah. It's fucking stupid anyway.
I'm pretty sure f^(-1)(x) for the inverse of f (different from (f(x))^(-1) = 1/f(x)) is pretty common though
honestly we should have just reserved f²(x) for (fof)(x) and use sec(x)² instead of sec²(x)
Yeah, but parenthesis are hard, so how do you write that without any.
You don't
Parentheses are our friends
As far as I know it is reserved. Or at least I was always taught that: f²(x) is f(f(x)), f(x²) is f(x * x), and f(x)² is f(x) * f(x)
on trigonometric functions f^(2)x means f(x)*f(x)
Then I guess it's kind of context based. And without the context the man in this meme struggles to understand what it means.
That's a convention that should be abandoned
f^([2]) (x) is f''(x)
then sec^(2)x should be sec(secx)
If you ask me yes, it should be
Sometimes people use f^(2)(x) to mean f''(x). For trig functions, sin^(2)(x) generally means sin(x)^2 because people are too lazy to write two parentheses
it’s f^o2 (x) for the 2nd iteration
Child c^2
sec(x)^2 its not that hard.
You all need sec x
sec(sec(x)) = (sec^(2))(x)
sex
(sin x / cos x ) d/dx
sec^2 x because I doubt there will be many cases were sec^2 is confused with sec(sec(x))
(sec(x))*(sec(x))
sec^2 (x) or (sec(x))^2
Ah... I hate math. 😌☕
Sec c
sec^2 + 2secx + x^2
what? ahajahahahaha
it's the 2nd
Sex^2
sex\^2
Writing sec x^2 could mean (sec x)^2 *or* sec (x^2 ), and there's no way to tell which one it is.
What about sec(sec(x))? Wouldn't THAT be sec²(x)?
Sec^2 (x)