Prove that
`tan (60^(@)-theta) tan (60^(@)+theta)=(2cos 2theta+1)/(2 cos 2 theta-1)`

Show that: tan(60^(@)+theta)tan(60^(@)-theta)=(2cos2 theta+1)/(2cos2 theta-1)

Prove that (tan^(2)theta-1)/(tan^(2)theta+1)=1-2cos^(2)theta

Prove that : (1 - tan^(2) theta)/(1 + tan^(2) theta) = cos^(2) theta - sin^(2) theta

Prove that (tan theta+ sin theta)/(tan theta-sin theta)= (sec theta+1)/(sec theta-1) OR Prove that (cosec theta- cot theta)^(2)=(1-cos theta)/(1+cos theta)

Prove that (cos^(2) theta)/(1-tan theta)+(sin^(3) theta)/(sin theta - cos theta) =1 + sin theta cos theta .

Prove that (1+tan theta)/(1-tan theta) = (1 - sin 2 theta)/(cos 2 theta) .

Prove that (tan^(3)theta)/(1+tan^(2)theta)+(cot^(3)theta)/(1+cot^(2)theta)=sec theta cos ec theta-2sin theta cos theta

Prove that (tan5 theta+tan3 theta)/(tan5 theta-tan3 theta)=4cos2 theta cos4 theta

Prove that ("tan"^(2)theta)/(("sec"theta-1)^(2))=(1+"cos"theta)/(1-"cos"theta) .

Prove that (1 - tan^(2) theta)/(1 + tan^(2) theta) = cos^(2) - sin^(2) theta