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Find x^2 + y^2+ z^2  4xyz if \[\sin ^{1}x+\sin ^{1} y+\sin ^{1}z = \frac{ 3\Pi }{ 2 }\]?
 one year ago
 one year ago
Yahoo! Group Title
Find x^2 + y^2+ z^2  4xyz if \[\sin ^{1}x+\sin ^{1} y+\sin ^{1}z = \frac{ 3\Pi }{ 2 }\]?
 one year ago
 one year ago

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shubhamsrg Group TitleBest ResponseYou've already chosen the best response.7
hint : max value of sin^1 x ?
 one year ago

Fazeelayaz Group TitleBest ResponseYou've already chosen the best response.0
ye sawal kaha se liya hai
 one year ago

shubhamsrg Group TitleBest ResponseYou've already chosen the best response.7
arre,,arent you getting the catch ? that was a great thing acc to me,,whats the max value of xin^1 x? o.O
 one year ago

shubhamsrg Group TitleBest ResponseYou've already chosen the best response.7
great hint* :P
 one year ago

Fazeelayaz Group TitleBest ResponseYou've already chosen the best response.0
u mean max value of sinx1 or sinx
 one year ago

shubhamsrg Group TitleBest ResponseYou've already chosen the best response.7
inverse
 one year ago

Fazeelayaz Group TitleBest ResponseYou've already chosen the best response.0
pi/2 + pi/2 +pi/2 do u mean that
 one year ago

shubhamsrg Group TitleBest ResponseYou've already chosen the best response.7
yep..the only possible ans..
 one year ago

Fazeelayaz Group TitleBest ResponseYou've already chosen the best response.0
hmm i don't think so
 one year ago

shubhamsrg Group TitleBest ResponseYou've already chosen the best response.7
really,,what makes you argue ?
 one year ago

Fazeelayaz Group TitleBest ResponseYou've already chosen the best response.0
try that formula sin1x + sin1y=sin1(x(1y^2)^1/2+y(1x^2)^1/2)
 one year ago

Fazeelayaz Group TitleBest ResponseYou've already chosen the best response.0
bring sins into one form like sin1(.....)=3pi/2
 one year ago

Fazeelayaz Group TitleBest ResponseYou've already chosen the best response.0
ok u are may be right
 one year ago

Fazeelayaz Group TitleBest ResponseYou've already chosen the best response.0
i was just trying to confirm it
 one year ago

shubhamsrg Group TitleBest ResponseYou've already chosen the best response.7
ofcorse am right,, suppose i ask you sinx +siny + sinz =3, then ofcorse its possible when all are =1
 one year ago

shubhamsrg Group TitleBest ResponseYou've already chosen the best response.7
same with this case.. hence x=y=z =1
 one year ago

Yahoo! Group TitleBest ResponseYou've already chosen the best response.0
@shubhamsrg Why Did u Take sin as Maximum ? Sorry My Connection was Out Of Order :)
 one year ago

Yahoo! Group TitleBest ResponseYou've already chosen the best response.0
@satellite73 @RadEn
 one year ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.0
@shubhamsrg provided you with the answer
 one year ago

mukushla Group TitleBest ResponseYou've already chosen the best response.0
i go with @shubhamsrg\[\sin ^{1}x+\sin ^{1} y+\sin ^{1}z \le \frac{ 3\pi }{ 2 }\]equality occurs when\[\sin ^{1}x=\sin ^{1} y=\sin ^{1}z = \frac{\pi }{ 2 }\]
 one year ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.0
you have \[\sin^{1}(x)+\sin^{1}(y)+\sin^{1}(z)=\frac{3\pi}{2}\] but the the very largest \(\sin^{1}(x)\) can be is \(\frac{\pi}{2}\) so they must each be \(\frac{\pi}{2}\), otherwise they cannot add to \(\frac{3\pi}{2}\)
 one year ago
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