Simplify `sectheta/tantheta`

If sectheta=a+(1)/(4a) , and 0 < theta < pi/2 find sectheta+tantheta .

The inverse of the matrix [[sectheta, tantheta], [tantheta, sectheta]] is

find tantheta if sectheta+tantheta=x

If tantheta=(3)/(4) ,then find the value of sectheta+tantheta .

What is the value of (sectheta)/(tantheta+cottheta) ?

Find sintheta , if sectheta+tantheta=3

If sectheta=x+(1)/(4x) , then find the value of sectheta+tantheta .

Simplify (sintheta+sectheta)^(2)+(costheta+cosectheta)^(2) .

Simplify tan theta [(sectheta,tantheta),(tantheta,-sectheta)]+sectheta[(-tantheta,-sectheta),(-sectheta,tantheta)]

Simplified expression of (sectheta+tantheta)(1-sintheta) is __________.