19quad sin alpha-cos alpha=(1)/(3)rArr sin^(4)alpha-cos^(4)alpha=

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

Prove that sin^(4) alpha + cos^(4) alpha + 2 sin^(2) alpha cos^(2) alpha = 1 .

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

( cos 2 alpha)/( cos^(4) alpha - sin^(4) alpha ) -(cos^(4) alpha + sin^(4) alpha )/(2-sin^(2) 2alpha ) =

If cos alpha + sin alpha = (3)/(4) , then sin^(6) alpha + cos^(6) alpha is equal to

(cos2 alpha)/(cos^(4)alpha-sin^(4)alpha)-(cos^(4)alpha+sin^(4)alpha)/(2-sin^(2)2 alpha)=

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

IF tan alpha = ( sin alpha - cos alpha )/( sin alpha + cos alpha) , then sin alpha + cos alpha is

Prove that lim_(x rarr4)((cos alpha)^(x)-(sin alpha)^(x)-cos2 alpha)/(x-4)=cos^(4)alpha ln(cos alpha)-sin^(4)alpha,alpha in(0,(pi)/(2))

If a is any real number then :(sin^(4)alpha+sin^(2)alpha*cos^(2)alpha+cos^(2)alpha)/(sin^(2)alpha+sin^(2)alpha*cos^(2)alpha+sin^(2)alpha)=