Solve `sec^2theta+tantheta=3`

Solve: cot2theta=tantheta

Solve: tan3theta+tantheta=0

Solve sec4 theta-sec2 theta=2

Solve: tan^(3)theta-3tantheta=0

Prove that sqrt(sec^(2)theta + cosec^(2)theta) = tantheta + cottheta .

Solve the following equations : i) tantheta=cottheta , ii) cos2theta=2sin^(2)theta iii) tan3theta=-sqrt(3) , iv) sin2theta-costheta=0 v) sec^(2)2theta=1-tan2theta

If sec^(2)theta+tan^(2)theta=7 find sintheta,costheta&tantheta ( theta in 1st qudrant).

Statement-1: if thetane2npi+(pi)/(2),n inZ, then (sec^(2)theta+tantheta)/(sec^(2)theta-tantheta)"lies between"1/3 and 3. Statement-2: If x inR, then 1/3le(x^(2)-x+1)/(x^(2)+x+1)le3.

x=a sec^(3)theta tan theta,y=b tan^(3)theta sec theta then sin^(2)theta=

x=a sec^(3)theta tan theta,y=b tan^(3)theta sec theta then sin^(2)theta