Show that : `sin^6 alpha+ cos^6 alpha ge 1/4`

Show that : sin^4alpha+cos^4alphage 1/2

If sin alpha + cos alpha = lambda then find |sin^(6) alpha - cos^(6) alpha| in terms of lambda .

If (sin^(4)alpha)/a +(cos^(4)alpha)/b = 1/(a+b) , show that sin^(8)alpha/a^(3) +cos^(8)alpha/b^(3) =1/(a+b)^(3)

If 5tan alpha=4, show that (5sin alpha-3cos alpha)/(5sin alpha+2cos alpha)=(1)/(6)

If sin alpha+ cos alpha=n , then sin^(6)alpha+ cos^(6)alpha in terms of n is ________

Show that cos^(4)alpha+2cos^(2)alpha(1-(1)/(sec^(2)alpha))=1-sin^(4)alpha

If sin alpha-cos alpha=m, then the value of sin^(6)alpha+cos^(6)alpha in terms of m is

Assertion (A): If sin alpha+cos alpha=m then sin^(6)alpha+cos^(6)alpha=(4-3(m^(2)-1)^(2))/(4) Reason (R) :0<=sin2 alpha<=1,AA alpha in i

If sin alpha/2 + cos alpha/2=1.4 , then: sin alpha cos alpha =

If alpha = (pi)/(13), Prove that cos alpha cos 2alpha cos 3alpha cos 4alpha cos 5alpha cos 6alpha = (1)/(64) .