`(cos2alpha)/(cos^4alpha-sin^4alpha)-(cos^4alpha+sin^4alpha)/(2-sin^2 2alpha)=`

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

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

Prove that, (cos alpha + sin alpha)/(cos alpha -sin alpha)-(cos alpha - sin alpha)/(cos alpha + sin alpha) = 2 tan 2 alpha

If alpha is any real nubmer then: (sin^4alpha+sin^2alpha.cos^2alpha+cos^2alpha)/(cos^4alpha+sin^2alpha.cos^2alpha+sin^2alpha)=.... (a) 1 (b)2 (c) 3 (d) none of these

To prove ((1)/(sec^(2)alpha-cos^(2)alpha)+(1)/(cos ec^(2)alpha-sin^(2)alpha))cos^(2)alpha sin^(2)alpha=(1-sin^(2)alpha cos^(2)alpha)/(2+sin^(2)alpha cos^(2)alpha)

cos^(4)alpha+sin^(4)alpha-6sin^(2)alpha cos^(2)alpha=

Prove that sin^2alpha-sin^4alpha= cos^2alpha-cos^4alpha

(sin 5 alpha-sin3alpha)/(cos 5 alpha+2 cos 4 alpha+cos 3alpha)=

((1)/(sec^(2)alpha-cos^(2)alpha)+(1)/(cos ec^(2)alpha-sin^(2)alpha))cos^(2)alpha*sin^(2)alpha=(1-cos^(2)alpha*sin^(2)alpha)/(2+cos^(2)alpha*sin^(2)alpha)