anyone care to tackle this?
*Breathes in* Nope D:
yeah i should hope not it makes no sense at all it is not an "equation" there is no equal sign also the expression is the same as \(1+\sin(x)\) so who knows what they are after
D; looks like trig on crack O_o
Do you know how to solve?, if we can :-/
It's solvable... *heavy breath* it's very long way to go...
it needs basic trigometric identity and double angle as well to solve it.
I am in algebra 1, if this is anything beyond that i won't know it, but I won't shy away from learning how to do this kinda numbers and letters and angles and things
All you need to know to solve the question, it's all here. I am sorry but consider the time I have, I won't be able to go details of this with you. http://www.purplemath.com/modules/idents.htm
Well, I never thought of this before but why not, \[\cos^2 \theta = 1-\sin^2 \theta = (1+\sin \theta)(1-\sin \theta)\] So... \[\frac{\cos^2 \theta}{1-\sin \theta} = 1+\sin \theta \] Uhhhh nothing makes any sense lol
Like why is the third option in a different font lol
\[(1+cosec)/cosec \\=(1/cosec)+1\\=1+\sin\]
can u teach me how to "tackle" this @Kainui I'm not great at tackling things, I'm kind of skinny
Come to think of it, this looks like two questions badly copy pasted together. If you look carefully you'll notice the text of the first part of the question up to the word "equation" is the same font as the 3rd answer and then the second half of the question along with the other 3 options are a separate font too.
I think @satellite73 just made this up, it's not even a real question to begin with lol.
oh
That, or someone is trolling @satellite73 lolol
i'm not sure i understand the question.. isn't it just simply the expression till you get one of the options?
or maybe satellite is smarter than us or he made up a rule or something
simplify*
just use the fill tool to see that there's a slightly different shade of white in the background where the other question was pasted in lolol http://i.imgur.com/qKEf9zx.png
|dw:1465964030061:dw|
common core I assume
@Kainui I have seen this before in online curriculum where there are different fonts in the answers. Don't know why this is though, and I've seen it confuse students.
\(\color{brown}{\text Q}\)\[\color{brown}{\frac{\cos^2}{1-\sin\theta}=\frac{1-\sin^2\theta}{1-\sin\theta}=1+\sin\theta}\] \(a)\)\[\frac{1-\sin\theta}{\cos\theta}=(1-\sin\theta )\sec\theta=\sec\theta-\tan\theta\]\(b)\)\[\frac{1+\sec\theta}{\sec\theta}=\cos\theta+\tan\theta\]\(c)\)\[\sin\theta\]\(\color{red}{\text d)}\)\[\color{red}{\frac{1+\csc\theta}{\csc\theta}=\sin\theta+1}\]
\[\frac{\cos^2 \theta}{1 - \sin \theta} \ne 1 + \sin \theta \]
it's the best option @ParthKohli
Why is this not true? \[\frac{\cos^2 \theta}{1 - \sin \theta} \ne 1 + \sin \theta \] Part of me wants to say it's cause at \(\theta = n \pi+\frac{\pi}{2}\) the expression \(1-\sin \theta=0\) however since \(\cos \theta = 0\) at those exact same values we can use L'Hopital's rule to look at the indeterminate form and see that: \[\lim_{\theta \to \pi/2} \frac{\cos^2 \theta}{1-\sin \theta} =\lim_{\theta \to \pi/2} \frac{-2\cos \theta \sin \theta}{-\cos \theta} =2 = 1 + \sin(\pi /2)\]
\(\frac{\cos^2\theta}{1-\sin(\theta)} - \boldsymbol{\sin \theta = (1 + \sin\theta) - \sin\theta} = 1\) ??? Does this mean I "completed the expression to obtain an identity". lol
the equation*
@Kainui I'd guess it's not true because it's not defined for all values of theta on the left. To hell with L'hopital and his rules. Also http://openstudy.com/study#/updates/5760e4a1e4b0008ef3e077e6
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