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myininaya (myininaya):
what are we doing?
OpenStudy (akshay_budhkar):
i think he wants it simplified o.O
myininaya (myininaya):
I can rewrite it
I don't know if it is considered simplified
\[2\sin(x)-2\sin(x) \cos^2(x)+1-\cos^2(x)=2\sin(x)(1-\cos^2(x))+1-\cos^2(x)\]
\[=2 \sin(x) (1-\cos^2(x))+1(1-\cos^2(x))=(1-\cos^2(x))(2 \sin(x)+1)\]
\[\sin^2(x)(2 \sin(x)+1)\]
OpenStudy (akshay_budhkar):
umm yea looks good myininaya.. or maybe that stuff is 0..so we can find x i believe
myininaya (myininaya):
good esp
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myininaya (myininaya):
if so set both factors =0
OpenStudy (akshay_budhkar):
yea :D
OpenStudy (anonymous):
It says "Solve each equation for \[0 \le x < 360\]
OpenStudy (akshay_budhkar):
it is not an equation <.<
myininaya (myininaya):
just so you know you didn't write in equation
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myininaya (myininaya):
an*
OpenStudy (akshay_budhkar):
it is an expression
myininaya (myininaya):
so it is =0 like akshay said?
OpenStudy (anonymous):
yes, it is equal to 0
myininaya (myininaya):
so i factored your expression
set both of the factors in my expression =0
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OpenStudy (akshay_budhkar):
can you do that?
myininaya (myininaya):
a*b=0 => a=0 or b=0 or both=0
OpenStudy (akshay_budhkar):
Habu can u proceed further? or do u want it to be done?
OpenStudy (anonymous):
Can you write it all out please and thank you (:
myininaya (myininaya):
\[\sin^2(x)(2 \sin(x)+1)=0 => \sin^2(x)=0 \text{ or } 2 \sin(x)+1=0 \]
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myininaya (myininaya):
you have two equations to solve
myininaya (myininaya):
sin(x)=0 is the easiest
myininaya (myininaya):
sin(0)=0 right
so x=0 is one solution
now you try to solve 2sin(x)+1=0
myininaya (myininaya):
i will give you a clue
subtract one on both sides
then
divide 2 on both sides
OpenStudy (akshay_budhkar):
x=180 is another soluton of sinx=0 :)
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myininaya (myininaya):
oh yes and that one
OpenStudy (akshay_budhkar):
will do the second one?
@myininaya you r too quick lol :P
OpenStudy (anonymous):
7pie/6 and 11pie/6
OpenStudy (akshay_budhkar):
yes correct :)
OpenStudy (anonymous):
Thank you both for your help (:
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OpenStudy (akshay_budhkar):
yw :D.. lol thank myininaya i did nothing :D
myininaya (myininaya):
|dw:1322191709933:dw|
i would write my answer in degrees since your inequality is written in degrees