" 3.If "sin x+cos x=m" ,then prove that "sin^(6)x+cos^(6)x=(4-3(m^(2)-1)^(2))/(4)," where "m^(2)<=2

If sin x+cos x=a then prove that: sin^(6)x+cos^(6)x=1-(3)/(4)(a^(2)-1)^(2), where a^(2)<=2

If sin x+cos x=a, then prove that: sin^(6)x+cos^(6)x=1-(3)/(4)(a^(2)-1)^(2) where a^(2)<=2

If sin theta+cos theta=m then prove that sin^(6)theta+cos^(6)theta=(4-3(m^(2)-1)^(2))/(4) where m^(2)<=2

If s int h eta+cos theta=m, then prove that sin^(6)theta+cos^(6)theta=(4-3(m^(2)-1))/(4), where m^(2)<=2

If sin theta+cos theta=x then prove that sin^(6)theta+cos^(6)theta=(4-3*(x^(2)-1)^(2))/(4)

If sin theta+cos theta=x, Prove that :sin^(6)theta+cos^(6)theta=(4-3(x^(2)-1)^(2))/(4)

If sinx+cosx=a , then prove that: sin^6x+cos^6x=1-3/4(a^2-1)^2 where a^2<=2

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

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

If sin theta + cos theta = m, show that cos^(6)theta + sin^(6)theta = (4 - 3(m^(2) - 1)^(2))/(4) where m^(2) le 2 .