Prove that `((sec A -1))/( (sec A+1) ) =(1-cos A)/(1+cos A ) `

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

Prove that sec A (1 - sin A)(sec A+ tan A) = 1.

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

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

int(sec 2x-1)/(sec 2x+1)dx=....+c

tan ^(2) ( sec ^(-1) 3) + cosec ^(2) ( cot ^(-1) 2) + cos ^(2) ( cos ^(-1) "" (2)/(3) + sin ^(-1) "" (2)/(3)) = __________.

Show that sqrt ((1+sin A ) /( 1-sin A))= sec A + tan A

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

Prove that sec^2(tan^(-1)2)+cos e c^2(cot^(-1)3)=15

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