Show that : `2 (sin^6 x + cos^6 x) -3 (sin^4 x + cos^4 x) + 1 =0`.

Find the value of : 2 (sin^(6) x + cos^(6)x) - 3 (sin^(4) x + cos ^(4)x) + 2 .

Show that 2(sin^6x+cos^6x)-3(sin^4x+cos^4x)+1=0 .

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

(2 cos x-3 sin x)/(6 cos x+4 sin x)

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

Find the value of: 2("sin"^(6)x+cos^(6)x)-3("sin"^(4)x+cos^(4)x)+2 .

If "sin" x + "sin"^(2) x = 1 show that: cos^(4)x + cos^(2)x = 1 (ii) If "sin" x + cos x =sqrt(2) cos x show that: sqrt2 sin x = cos x - sin x