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[" 9cos "^(2)theta" .In in in in "],[qquad [" 1.Show that "3(sin x-cos x)^(4)+6(sin x+cos x)^(2)+4(sin^(6)x),=13]," For exam "]

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Show that: 3(sin x-cos x)^(4)+6(sin x+cos x)^(2)+4(sin^(6)x+cos^(6)x)=13

3(sin x- cos x )^(4) + 6(sin x+ cos x )^(2) +4 (sin ^(6) x+ cos ^(6) x)=

3(sin x- cos x )^(4) + 6(sin x+ cos x )^(2) +4 (sin ^(6) x+ cos ^(6) x)=

3(sin x + cos x )^(4) + 6(sin x - cos x )^(2) + 4(sin^(6) x + cos^(6) x )=

Show that : 3 (sin x - cos x)^4 + 6 (sin x + cos x)^2 + 4(sin^6 x + cos^6 x) = 13 .

Show that 3(sin x- cos x)^(4)+4 (sin ^(6)x+cos^(6)x)+ 6(sin x+cos x)^(2)=13

Show that 3(sin^4x+cos^4x)-2(sin^6x+cos^6x)=1 .

Prove that: 3 (sin x-cos x) ^ (4) +6 (sin x + cos x) ^ (2) +4 (sin ^ (6) x + cos ^ (6) x) -13 = 0

Prove that: 3 (sin x-cos x)^4+ 6 (sin x +cosx)^ 2+4 (sin^6 x+ cos^6 x) -13=0