`((1+tan^2theta)cottheta)/(c o s e c^2theta)=tantheta`

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

Prove: (costheta)/(cos e c\ theta+1)+(costheta)/(cos e c\ theta-1)=2tantheta

If cottheta=sqrt(3) , find the value of (cos e c^2theta+cot^2theta)/(cos e c^2theta-sec^2theta)

(sin^(2)theta)/(1-cottheta)+(cos^(2)theta)/(1-tantheta)=1+u,"then" : u

If tan theta=1/sqrt7 ,then (c o s e c^2theta-sec^2theta)/(c o s e c^2theta+sec^2theta)=?

If tantheta=1/(sqrt(2)) , find the value of (cos e c^2theta-sec^2theta)/(cos e c^2theta+cot^2theta)

Prove the following identities: (tantheta-cottheta)/(sinthetacostheta)=sec^2theta-cos e c^2theta=tan^2theta-cot^2theta

Show that : 3(tan^2theta+cot^2theta)-7(cottheta+tantheta)+10gt0

Let theta in (0,pi/4) and t_(1) = (tan theta)^(tantheta) and t_(2) = (tan theta)^(cottheta),t_3=(cot theta)^(tan theta) and t_4=(cot theta)^(cot theta) , then :

If tantheta=1/(sqrt(7)) , find the value of (cos e c^2theta-sec^2theta)/(cos e c^2theta+sec^2theta) .