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If sin alpha=A sin(alpha+beta),Ane0, the...

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

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)`

Text Solution

Verified by Experts

The correct Answer is:
A
`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)
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