` ( cos A ) /( 1 + sin A ) + ( 1 + sin A ) /( cos A ) = 2 sec A `

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

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

Show that (tan A .sin A) + cos A = sec A .

( cos A - sin A + 1 ) / ( cos A + sin A - 1 ) = cosec A + cot A cosec A + cot A , = using the identity cosec ^ 2 A = 1 + cot^ 2 A .

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

sin (n +1) x sin (n +2) x + cos (n +1) x cos (n +2) x = cos x

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

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

Solve |cos x - 2 sin 2x - cos 3 x|=1-2 sin x - cos 2x .

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