यदि ` (sin(x+y))/(sin(x-y)) = (a+b)/(a-b)` हो, तो ` (tanx)/(tany)` किसके बराबर है ?

Options

A. `b/a`
B. `a/b`
C. `ab`
D. `1`

Answer

B

Explanation

` (sin (x+y) )/(sin (x-y))= (a+b)/(a-b)" "` ...(i)
समी (i ) में योगान्तरानुपात लगाने पर ,
`( sin (x+y)+sin(x-y))/(sin(x+y)-sin(x-y))`
` = (a+b+a-b)/(a+b-a+b)`
` rArr (2 sin x * cos y)/(2 cos x*sin y) = (2a)/(2b)=a/b`
` rArr tanx* cot y = a/b rArr (tanx)/(tany) = a/b`