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Let f(x) = 3(cosx-sinx)^4 + 4(sin^6x + c...

Let `f(x) = 3(cosx-sinx)^4 + 4(sin^6x + cos^6x) + 6(sinx + cosx)^2-12` then `f(pi/6)-f(pi/3)` is equal to

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Prove that 3(sinx-cosx)^4+4(sin^6x+cos^6x)+6(sinx+cosx)^2=13

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