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

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

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

What is the value of (sin^4alpha-cos^4 alpha+1)cosec^2 alpha .

If sin theta- cos theta=0 then show that sin^4 theta+cos^4 theta=1/2

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

The simplified value of sin^(4)alpha+cos^(4)alpha+(1)/(2) sin^(2) 2 alpha is

sin alpha-cos alpha=(1)/(3) then sin^(4)alpha-cos^(4)alpha=

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)

Show that 2"sin"^(2)beta+4 cos(alpha+beta)"sin" alpha sin beta+cos2(alpha+beta)=cos 2alpha .

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