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if (x)/(y)=(cosA)/(cosB) then prove that...

if `(x)/(y)=(cosA)/(cosB)` then prove that
`(x tan A+y tan B)/(x+y)=tan""(A+B)/(2)`

Text Solution

Verified by Experts

`(xtanA+y tanB)/(x+y)=((x)/(y)tanA+tanB)/((x)/(y)+1)`
`=(sinA+sinB)/(cosA+cosB)`
`=tan"" (A+B)/(2)`.
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