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If int (sin x)/(sin (x-alpha))dx =Ax+B l...

If `int (sin x)/(sin (x-alpha))dx =Ax+B log sin (x-alpha)+C`, then the value of (A,B) , is

A

`(-sin alpha, cos alpha)`

B

`(cos alpha, sin alpha)`

C

`(sin alpha, sin alpha)`

D

`(-cos alpha, sin alpha)`

Text Solution

Verified by Experts

The correct Answer is:
B
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Knowledge Check

  • int(sinx)/(sin(x-alpha)) dx = ?

    A
    `x cos alpha + (sin alpha) log |sin (x-alpha)| + C`
    B
    `x sin alpha + (sin alpha) log |sin (x-alpha) | + C`
    C
    `x cos alpha - (sin alpha) log |sin(x-alpha) | + C`
    D
    `x sin alpha - (sin alpha) log |sin (x-alpha)| + C`

  • If int (sin x)/(sin (x-a))dx =Ax +B log sin (x-alpha ) +C, then value of (A,B) is:

    A
    `(sin alpha ,cos alpha )`
    B
    `(cos alpha, sin alpha )`
    C
    `(-sin alpha, cos alpha )`
    D
    `(-cos alpha, sin alpha )`

  • If int(sinx)/(sin(x-alpha))dx=Ax+Blogsin(x-alpha)+c then

    A
    `A=sinalpha`
    B
    `B=sinalpha`
    C
    `A=cosalpha`
    D
    `B=cosalpha`

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