if `m*tan(theta-30)=n*tan(theta+120)`, show that `cos2theta=(m+n)/(2(m-n))`.

Show that cot theta +tan theta =sec theta cosec theta

If 2tan^(-1)(costheta)=tan^(-1)(2cosectheta) , then show that theta=pi/4 .

If tan^(4)theta +tan^(2) theta = 1 , then the value of cos^(4)theta +cos^(2)theta is-

If sintheta=nsin(theta+2alpha) then prove that, tan(theta+alpha)=(1+n)/(1-n)tanalpha

If tan theta = sqrt2-1 then tan (2theta)=1 .

tan^(2) theta-sec^(2) theta=….

If msintheta=nsin(theta+2alpha) , then prove that tan(theta+alpha)cotalpha=(m+n)/(m-n) .

theta_(1),theta_(2)in[0,2pi]andtheta_(1) and theta_(2) satisfy the equation tantheta=1 then tan((theta_(1))/(2)).tan((theta_(2))/(2))= ………….

If cos(theta+phi)=mcos(theta-phi) , then prove that tantheta=(1-m)/(1+m)cotphi .

If tantheta+tan2theta+sqrt(3)tanthetatan2theta=sqrt(3) , then theta=(npi)/(3)+(pi)/(9) .