If `sin alpha=A sin(alpha+beta),Ane0`, then
The value of `tan alpha` is

Options

A. `(Asin beta)/(1-Acosbeta)`
B. `(Asin beta)/(1+A cos beta)`
C. `(A cos beta)/(1-A sin beta)`
D. `(A sin beta)/(1+A cos beta)`

Answer

A

Explanation

`sin alpha = A sin ( alpha+ beta) = A( sin alpha cos beta + sin beta cot alpha ) `
`rArr sin alpha (1-A cos beta) = A sin beta cos alpha " " `…(i)
`rArr tan alpha = (Asin beta ) /((1-A cos beta))" " `…(ii)