Evaluate `(1-tantheta)^2+(1+tantheta)^2`

(tantheta+2)(2 tantheta+1)= ?

((1-tantheta)/(1-cottheta))^(2)+1=

Find all values of theta in the interval (-pi/2,pi/2) satisfying the equation (1-tantheta)(1+tantheta)sec^2theta+2^(tan^2theta)=0

The value of (2cos^(2)theta-1)((1+tantheta)/(1-tantheta)+(1-tantheta)/(1+tantheta)) is

If sectheta+tantheta=5 , then the value of (tantheta+1)/(tantheta-1) is

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

If equation |sqrt((x-tantheta)^(2)+(y-sqrt3tantheta)^(2))-sqrt((x-2tantheta)^(2)+y^(2))|=2,theta in[0,pi]-{(pi)/(2)} represents hyperbola, then find the value of theta .

Prove that (1+sin2theta)/(1-sin2theta)=((1+tantheta)/(1-tan theta))^(2)

costheta(tantheta+2)(2tantheta+1)=?