Question

cos(A-B) /cosAcosB=tanA+cotB​

Answer 1

Answer:

sin(a+b) / cosAcosB = tan A + tan B

sin(a+b) = sincosB + cossinB ( identity )

sin(a+b) / cosAcosB = ( sinAcosB + cosAsinB )/ (cosAcosB)

= sinAcosB/ cosAcosB + cosAsinB/ cosAcosB

= sinA/ cosA + sinB/ cosB

= tanA + tanB

Thanku

Hope the answer will help you !

Answer 2

Answer:

= cosA cosB+sinA sinB/cosA sinB

= cosA cosB/ cosA sinB+ sinB/ cos sinB

= cotB+ tanA

= tanA+ cotB