`tantheta/(1+cottheta)=(tantheta-1)/(2-cosec^2theta)`

Show that, ((1-tantheta)/(1-cottheta))^2=(1+tan^2theta)/(1+cot^2theta).

Prove: (1+tan^2theta)/(1+cot^2theta)=((1-tantheta)/(1-cottheta))^2=tan^2theta

Prove that (1+tan^2 theta)/(1+cot^2 theta)=((1-tantheta)/(1-cottheta))^2 .

Prove that ((1+cottheta+tantheta)(sintheta-costheta))=(frac(sectheta)(cosec^2theta))-(frac(cosectheta)(sec^2theta))

Prove the following identities : (1+tan^(2)theta)/(1+cot^(2)theta)=((1-tantheta)/(1-cottheta))^(2)

Prove: (tantheta)/(1- cottheta)+(cottheta)/(1-tantheta)=1+tantheta+cottheta

tantheta-cottheta=(2sin^2theta-1)/(sinthetacostheta)=(1-2cos^2theta)/(sinthetacostheta .

Prove the following (1+tan^2theta) /(1+cot^2theta) =((1+tantheta) /(1+cottheta))^2 =tan^2theta

(tantheta)/(1-cottheta)+(cottheta)/(1-tantheta)=1+tantheta+cottheta=sectheta"cosec"theta+1

Prove that : (tantheta)/(1-cottheta)+(cottheta)/(1-tantheta)=1+sectheta" cosec "theta