Evaluate :
`( Costheta + iotaSintheta )^5 ( Costheta - iotaSintheta )^3`

Evaluate : ( Cos^3theta + Sin^3theta ) / ( Costheta + Sintheta ) + ( Cos^3theta - Sin^3theta ) / ( Costheta - Sintheta )

Evaluate : ( sintheta + costheta ) ( sintheta - costheta )

Evaluate : ( 1 + sintheta + costheta )^2 =

If Sintheta + Costheta = 1 Sintheta - Costheta = ?

Sintheta + Costheta = 2 Sintheta - Costheta = ?

Evaluate : ( Sintheta + Costheta ) ( 1 - Sintheta Costheta ) = Sin^3theta + Cos^3theta

Evaluate : ( Sintheta - Costheta )^2 + ( Sintheta + Costheta )^2 = ?

Evaluate : 1/costheta + sintheta/costheta = ?

Find (costheta+isintheta)^n

Show that : Costheta /( 1 - Sintheta ) + Costheta /( 1 + Sintheta ) = 2/Costheta