If a^2+b^2+c^2=1, then prove that |a^...

If `a^2+b^2+c^2=1,` then prove that `|a^2+(b^2+c^2)cosvarphia b(1-cosvarphi)a c(1-cosvarphi)b a(1-cosvarphi)b^2+(c^2+a^2)cosvarphib c(1-cosvarphi)c a(1-cosvarphi)c b(1-cosvarphi)c^2+(a^2+b^2)cosvarphi|` is independent of `a ,b ,cdot`

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Knowledge Check

If 2cos theta=x+1/x and 2cosvarphi=y+1/y , then

A

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