English, asked by aman4736, 1 year ago

Prove that , cot A+tan B/cot B+tan A= cot A.tan B

Answers

Answered by MrrrrInnocent
4

LHS: cotA + tanB / cotB + tanA

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

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

= cotA / cotB

= cotAtanB

= RHS

hence proved.


Similar questions