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OpenStudy (kittiwitti1):
back
imqwerty (imqwerty):
wb :)
OpenStudy (kittiwitti1):
thanks :)
imqwerty (imqwerty):
hey pooja changed her pfp
imqwerty (imqwerty):
pooja left this post
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OpenStudy (kittiwitti1):
wait what?
imqwerty (imqwerty):
pooja came back
OpenStudy (kittiwitti1):
um ok o_o
imqwerty (imqwerty):
ok lets do the ques
pooja195 (pooja195):
0.0
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OpenStudy (kittiwitti1):
okay...
imqwerty (imqwerty):
u want direct answer or step wise :)
OpenStudy (kittiwitti1):
lol what ... I thought direct answers ware against the rules
imqwerty (imqwerty):
no is not like that :)
OpenStudy (kittiwitti1):
were*
I just need hints, we'll only step by step if I really don't get it :p
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OpenStudy (kittiwitti1):
only do* omg my grammar -_- lol
imqwerty (imqwerty):
its ok
imqwerty (imqwerty):
use this identity-
\[\cos(\sin^{-1} a)=\sqrt{1-a^2}\]
OpenStudy (kittiwitti1):
eh? o-o
OpenStudy (kittiwitti1):
sorry was trying to figure it out myself, somewhat xD
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imqwerty (imqwerty):
yes thats an identity u just need to figure out what is 'a' in your ques and put that in the result ->sqrt{1-a^2}
OpenStudy (kittiwitti1):
oh um, Directrix gave me this formula \[\sqrt{1-\frac{1}{x^{2}}}\]
imqwerty (imqwerty):
yes correct
OpenStudy (kittiwitti1):
so I should solve in terms of or for* x? o-o
OpenStudy (kittiwitti1):
not sure which
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Directrix (directrix):
>>yes thats an identity u just need to figure out what is 'a' in your ques and put
It seems to be that a would be 1/x.
OpenStudy (kittiwitti1):
my computer won't let me reply properly ...
imqwerty (imqwerty):
maybe ur computer hates u ):
OpenStudy (kittiwitti1):
I got \[1-\frac{1}{x}\]and my mom is yelling at me to do housework
OpenStudy (kittiwitti1):
lol
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OpenStudy (kittiwitti1):
ack, it's wrong x_x
OpenStudy (kittiwitti1):
that's the answer? o_o
imqwerty (imqwerty):
yes B)
OpenStudy (kittiwitti1):
OH.
OpenStudy (kittiwitti1):
wait but wouldn't I be right too since I just simplified it
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OpenStudy (kittiwitti1):
nope, says it's wrong
well it says x^2
imqwerty (imqwerty):
oopsie i made a lil mistake :)
OpenStudy (kittiwitti1):
.-.
imqwerty (imqwerty):
it will be this-\[\sqrt{1-\frac{ 1 }{ x^2 }}\]
OpenStudy (kittiwitti1):
I put that and got "wrong answer" too before lol
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imqwerty (imqwerty):
oh lawd what is happening
ok so we have this-
\[\cos(\sin^{-1} \frac{ 1 }{ x })\]
from here we get that a=1/x
now we have to express it in terms of x
and we know that
\[\cos(\sin^{-1} a)=\sqrt{1-a^2}\]
we put our a in it
\[\\[\cos(\sin^{-1} \frac{ 1 }{ x })=\sqrt{\frac{ x^2-1 }{ x}}\]=\sqrt{1-\frac{ 1 }{ x^2 }}\]
or u can also write it like this-\[\cos(\sin^{-1} \frac{ 1 }{ x })=\sqrt{\frac{ (x-1)(x+1) }{ x }}\]
or like this-\[\cos(\sin^{-1} \frac{ 1 }{ x })=\sqrt{\left( 1-\frac{ 1 }{ x } \right)\left( 1+\frac{ 1 }{x } \right)}\]
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OpenStudy (kittiwitti1):
according to link 1, the answer is cos(arcsin (1/x) )
imqwerty (imqwerty):
did u use space when u typed your answer?
OpenStudy (kittiwitti1):
nope.
imqwerty (imqwerty):
ok try this-\[\frac{ \sqrt{x^2-1} }{x }\]
OpenStudy (kittiwitti1):
I tried the arcsin thing, it wouldn't let me type arcsin
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OpenStudy (kittiwitti1):
um I think I only have one attempt left
imqwerty (imqwerty):
ok lets think
imqwerty (imqwerty):
see the answer is definitely this
imqwerty (imqwerty):
i think they want a simplified answer
imqwerty (imqwerty):
i think \[\frac{ \sqrt{x^2-1} }{ x}\]shuld wrk
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OpenStudy (kittiwitti1):
how about this problem instead? I have full attempts\[\sec{\left(cos^{-1}\frac{7}{x}\right)}\]
OpenStudy (kittiwitti1):
@imqwerty lol is that ok?
imqwerty (imqwerty):
wait a min lol m on a phone call
OpenStudy (kittiwitti1):
ok xD
imqwerty (imqwerty):
ok done :)
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OpenStudy (kittiwitti1):
okay :]
imqwerty (imqwerty):
x/7 for sure B)
imqwerty (imqwerty):
\[\sec(\cos^{-1} \frac{ 7 }{ x })=\frac{ 1 }{ \cos \left( \cos^{-1} \frac{ 7 }{ x } \right) }\]\[=>\frac{ 1 }{ \frac{ 7 }{x} }=\frac{ x }{ 7 }\]
OpenStudy (kittiwitti1):
okay
imqwerty (imqwerty):
(B
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OpenStudy (kittiwitti1):
It's correct :o
imqwerty (imqwerty):
ヽ༼ຈل͜ຈ༽ノ︵ ┻━┻
:D
OpenStudy (kittiwitti1):
I input/submitted the other one and it's correct too
imqwerty (imqwerty):
┻━┻︵ヽ༼ຈل͜ຈ༽ノ︵ ┻━┻
OpenStudy (kittiwitti1):
so then this one ? lol \[\sin\left(\tan^{-1}x\right)\]
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OpenStudy (kittiwitti1):
I looked at your solution for 7/x but it doesn't apply to this one lol
imqwerty (imqwerty):
its this-
\[\frac{ x \sqrt{x^2+1} }{ x^2+1 }\]
OpenStudy (kittiwitti1):
what how 0.0
imqwerty (imqwerty):
just use the identity-
\[\sin(\tan^{-1} a)=\frac{ a }{ \sqrt{a^2+1} }\]
note that i multiplied both numerator and denominator with sqrt{x^2 +1}
to remove the square root from the denominator
imqwerty (imqwerty):
but i think that u shuld enter this as the answer-\[\frac{ x }{ \sqrt{x^2+1} }\]
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