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

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shubhamsrg
 3 years ago
Best ResponseYou've already chosen the best response.7hint : max value of sin^1 x ?

Fazeelayaz
 3 years ago
Best ResponseYou've already chosen the best response.0ye sawal kaha se liya hai

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

Fazeelayaz
 3 years ago
Best ResponseYou've already chosen the best response.0u mean max value of sinx1 or sinx

Fazeelayaz
 3 years ago
Best ResponseYou've already chosen the best response.0pi/2 + pi/2 +pi/2 do u mean that

shubhamsrg
 3 years ago
Best ResponseYou've already chosen the best response.7yep..the only possible ans..

Fazeelayaz
 3 years ago
Best ResponseYou've already chosen the best response.0hmm i don't think so

shubhamsrg
 3 years ago
Best ResponseYou've already chosen the best response.7really,,what makes you argue ?

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

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

Fazeelayaz
 3 years ago
Best ResponseYou've already chosen the best response.0ok u are may be right

Fazeelayaz
 3 years ago
Best ResponseYou've already chosen the best response.0i was just trying to confirm it

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

shubhamsrg
 3 years ago
Best ResponseYou've already chosen the best response.7same with this case.. hence x=y=z =1

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

satellite73
 3 years ago
Best ResponseYou've already chosen the best response.0@shubhamsrg provided you with the answer

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

satellite73
 3 years ago
Best ResponseYou've already chosen the best response.0you 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 \(\frac{3\pi}{2}\)
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