The simplified value of `cosec^(2) alpha(1+(1)/(sec alpha))(1-(1)/(sec alpha))` is ______

(sec8 alpha-1)/(sec4 alpha-1)=(tan8 alpha)/(tan2 alpha)

(1)/(sec alpha - tan alpha ) - (1)/( cos alpha)=

If tan alpha=2 , then the value of (cosec^2 alpha-sec^2 alpha)/(cosec^2 alpha+sec^2 alpha) is यदि tan alpha=2 है, तो (cosec^2 alpha-sec^2 alpha)/(cosec^2 alpha+sec^2 alpha) का मान ज्ञात करें।

tanalpha=2 , then the value of ("cosec"^(2)alpha-sec^(2)alpha)/("cosec"^(2)alpha+sec^(2)alpha) is

Show that 1 + cot^2 alpha / (1+ cosec alpha) = cosec alpha

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

Prove that : 1+(cot^(2)alpha)/(1+"cosec"alpha)="cesec"alpha

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

The value of (cot^(2)alpha)((sec alpha-1)/(1+sin alpha))+sec^(2)alpha((sin alpha-1)/(1+sec alpha)) is

If sec alpha=(2)/(sqrt3), the find the value of (1-"cosec "alpha)/(1+"cosec "alpha) , where alpha is in IV quadrant.