Prove that `(cot theta -cos theta )/( cot theta +cos theta ) =(cos ec theta -1)/( cosec theta +1) `

Prove that, cot theta - tan theta = 2cot 2 theta

Prove that: cot theta cot2 theta + cot2 theta cot 3 theta + 2 = cot theta(cot theta - cot3 theta)

Prove that (sin theta -cos theta+1 )/( sin theta + cos theta -1) =(1)/( sec theta -tan theta ) [use the identity sec ^(2) theta =1 +tan ^(2) theta ]

Show that (cosec theta -cot theta )^(2) =(1-cos theta )/( 1+cos theta )

If 13 theta =pi , " prove that " cos theta cos 2theta cos3 theta cos4theta cos5 theta cos6 theta =1/2^(6)

Prove that (sin 3theta-sintheta)/(costheta-cos3 theta)=cot2 theta

Prove that, (cot theta - tan theta)/(1-2 sin ^(2) theta) = sec theta "cosec" theta

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

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

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