Solve `2tantheta-cottheta=-1`

If sintheta+costheta=sqrt(3) , then prove that tantheta+cottheta=1

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

Prove that tantheta/(1-cottheta)+cottheta/(1-tantheta)=1+secthetacosectheta

Solve tantheta+tan2theta+sqrt(3)tanthetatan2theta=sqrt(3)

If sintheta+costheta=sqrt(3)" then "tantheta+cottheta=?

Prove that identity [cosec(90^(@)-theta)-sin(90^(@)-theta)][cosectheta-sintheta][tantheta+cottheta]=1

A tangent is drawn to parabola y^2=8x which makes angle theta with positive direction of x-axis. The equation of tangent is (A) y=xtantheta+2cottheta (B) ycottheta=x-2tantheta (C) ycottheta=x+2tantheta (D) ycottheta=x-tantheta

Solve 4costheta-3sectheta=tantheta

costheta -sintheta -cottheta +1=0

If sintheta,costheta and tantheta are in G.P., then prove that cot^(6)theta-cot^(2)theta=1