Prove that `(cosec A - sin A ) (sec A -cos A) = ( 1)/( tan A +cot A) `

Prove that ( 1+ sec A)/( sec A) =(sin ^(2) A)/( 1-cos A)

Prove that (sin A +cosec A) ^(2) +(cos A +sec A) ^(2) =7+ tan ^(2) A +cot ^(2) A

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 ]

Prove that, "cosec" (theta + phi)=("cosec" theta "cosec" phi)/(cot theta + cot phi)

int (sec x cosec x)/(2 cot x- sec x cosec x)dx=

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

Prove that, 2 "cosec" 4 theta - sec2 theta = (1- tan theta)/(1+tan theta)"cosec" 2 theta

Prove that sqrt ((1+cos theta )/( 1-cos theta ) ) = cosec theta +cot theta , 0le theta le 90 ^(@)

Prove that sin cot^(-1) tan cos^(-1) x = sin cosec^(-1) cot tan^(-1) x = x, " where " x in [0,1]

prove that , sec ^(2) ( tan ^(-1 )2) + "cosec"^(2) ( cot ^(-1) 3) = 15 .