, 2 A cos" B-cos" A sin' B = sin2 A-sin2 B54. sin55 (i)56. cot A cosec

1.	, 2 A cos" B-cos" A sin' B = sin2 A-sin2 B54. sin55 (i)56. cot A cosec57.cot A + tan BcotB+ tan A= cot A tan Btan A+ tan B tan A tancot A +cot B-B-cot. B cosec. A = cot A-cottan? A sec-B-sec" A tan2 B = tan2 A-tan 2 BLEVEL-22 BProbe the follooing identities: (58-7558. If.r a sec + b tan 0 and y-atan+ b seco, prove that x2-y2 ะเ[CBS59. If 3 sin 0+5 cos 05, prove that 5 sin 0-3 cos0 +3.
Answer» 55)LHS: cotA + tanB / cotB + tanA = (cotA + 1/cotB) / (cotB + 1/cotA) = (cotAcotB + 1) / cotB / (cotAcotB + 1) / cotA = cotA / cotB = cotAtanB

, 2 A cos" B-cos" A sin' B = sin2 A-sin2 B54. sin55 (i)56. cot A cosec57.cot A + tan BcotB+ tan A= cot A tan Btan A+ tan B tan A tancot A +cot B-B-cot. B cosec. A = cot A-cottan? A sec-B-sec" A tan2 B = tan2 A-tan 2 BLEVEL-22 BProbe the follooing identities: (58-7558. If.r a sec + b tan 0 and y-atan+ b seco, prove that x2-y2 ะเ[CBS59. If 3 sin 0+5 cos 05, prove that 5 sin 0-3 cos0 +3.

Answer»

55)LHS: cotA + tanB / cotB + tanA

= (cotA + 1/cotB) / (cotB + 1/cotA)

= (cotAcotB + 1) / cotB / (cotAcotB + 1) / cotA

= cotA / cotB

= cotAtanB