Another Problem

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

Not a doubt.....part of my initiative.....

5 Answers

1
pritishmasti ............... ·

4 valued pairs

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

1708
man111 singh ·

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

out of 4-pair, only 2 is satisfied.

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

1
pritishmasti ............... ·

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

341
Hari Shankar ·

Hint: a3+b3+c3=3abc

21
Shubhodip ·

for ALL a=b

??

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