Evaluate: `inte^tantheta(sectheta-sintheta)d theta`

Evaluate: int(1+costheta)/(theta+sintheta)d theta

int(sectheta)/(sec theta+tantheta)d theta=

(tantheta+sectheta-1)/(tantheta-sectheta+1)=

(tantheta+sectheta-1)/(tantheta-sectheta+1)=

What is the value of (sectheta-costheta)("cosec"theta-sintheta)(cottheta+tantheta) ?

If tantheta+sectheta=sqrt3, then: theta=

find tantheta if sectheta+tantheta=x

frac(sintheta [(1-tantheta) tan theta+sec^2 theta])((1-sintheta) tantheta(1+tan theta) (sec theta+tantheta)) =?

Evaluate: |[sectheta,tantheta],[tantheta,sectheta]|

(cosectheta-sintheta)(sectheta-costheta)(tantheta+cottheta)=?