If `4 sinalpha cos alpha - 8 sin^3alpha cosalpha=sqrt3/2and 8cos^4 alpha-8cos^2alpha+1=(-1)/2,where alpha in(0,pi/2),` Then the value of `log_(cos((alpha)/2))((sinalpha+cosalpha)/(sqrt2))` is equal to

If 4sin alpha cos alpha-8sin^(3)alpha cos alpha=(sqrt(3))/(2) and 8cos^(4)alpha-8cos^(2)alpha+1=(-1)/(2), where alpha in(0,(pi)/(2)) Then the value of log_(cos((a)/(2)))((sin alpha+cos alpha)/(sqrt(2))) is equal to

If tanalpha=2 , then the value of (sinalpha)/(sin^(3)alpha+cos^(3)alpha) is

(sqrt2 - sin alpha - cos alpha )/( sin alpha - cos alpha)=

cos4 alpha=1-8cos^(2)alpha+8cos^(4)alpha

If tantheta=(sin alpha-cos alpha)/(sinalpha+cosalpha)1 then

If sinalpha+cos alpha=sqrt2 cos alpha then prove that tan 2alpha=1

cos alpha cos 2 alpha cos 4 alpha cos 8 alpha = (1)/(16), if alpha = 24 ^(@)

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

If (2 sin alpha)/(1 + cos alpha + sin alpha) = 3/4 , then the value of (1 + cos alpha + sinalpha)/(1 + sin alpha) is equal to

If (2 sin alpha)/(1 + cos alpha + sin alpha) = 3/4 , then the value of (1 - cos alpha + sinalpha)/(1 + sin alpha) is equal to