`cos^2(4 5^(@)-alpha)+cos^2(1 5^(@)+alpha)-cos^2(1 5^0-alpha)=`

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

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

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

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

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)

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

((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)

IF sin ^(16) alpha = 1/5 then the value of (1) /(cos ^2 alpha) +(1)/( 1 + sin ^2 alpha) +(2)/(1+ sin ^4 alpha) + ( 4 )/( 1+ sin ^8 alpha) is equal to

(1)/(sec^(4)alpha)+(1)/(cos ec^(4)alpha)+(2)/(sec^(2)alpha+cos ec^(2)alpha)=? and (cos A)/(1+sin A)+(1+sin A)/(cos A)=?

(1)/(sec^(4)alpha)+(1)/(cos ec^(4)alpha)+(2)/(sec^(2)alpha+cos ec^(2)alpha)=? and (cos A)/(1+sin A)+(1+sin A)/(cos A)=?