Evaluate :

`( 1 + Costheta )/( Sin^2( theta ) )`

Evaluate : ( Cos^2theta - Sin^2theta ) / ( ( Costheta - Sintheta )^2

Evaluate : ( Cos^2theta - Sin^2theta ) / ( ( Costheta - Sintheta )^2

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

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

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

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

Evaluate : a Sin^3theta Costheta + a Sintheta Cos^3theta

Evaluate the following: |costheta, -sin theta],[sin theta, cos theta]|

If sectheta=(3)/(2) ,then find value of (2costheta-tan^(2)theta)/(sin^(2)theta+1) .

If 0^(@)lethetale90^(@) , then solve the following equations : (i) (costheta)/(1-sintheta)+(costheta)/(1+sintheta)=4 (ii) (cos^(2)theta-3costheta+2)/(sin^(2)theta)=1 (iii) (costheta)/("cosec"theta+1)+(costheta)/("cosec"theta-1)=2