Another Problem

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Let " a " and " b " be real numbers in the interval [ 0 , Î / 2 ] . Then for how many integral valued pairs of " a " and " b " must be there who satisfy ..........

sin ⁶ ( a ) + 3 sin ² ( a ) cos ² ( b ) + cos ⁶ ( b ) = 1

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pritishmasti ............... ·2010-12-26 07:45:16

4 valued pairs

(0,0)....(0,1)....(1,0)....(1,1)

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man111 singh ·2010-12-26 08:38:41

Continued.... from pritish post....

out of 4-pair, only 2 is satisfied.

(a,b) = (0,0) and (1,1).

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pritishmasti ............... ·2010-12-26 09:07:26

ahh i made a big mistake..didn't check my answer
thxx man111

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Hari Shankar ·2010-12-26 20:40:06

Hint: a³+b³+c³=3abc

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Shubhodip ·2010-12-27 08:41:39

for ALL a=b

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