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Evaluate : ∫sin(x−a)/sin(x+a)dx - CBSE (Commerce) Class 12 - Mathematics

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Question

Evaluate : `intsin(x-a)/sin(x+a)dx`

 

Solution

`intsin(x-a)/sin(x+a)dx`

Let `, (x + a) = t `

`intsin(t-2a)/sint dt=int(sintcos2a-costsin2a)/sint dt=int(cos2a-cot t sin2a)dt`

`therefore intsin(t-2a)/sint dt =(cos2a)t-(sin2a)log|sint|+C`

 

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Solution Evaluate : ∫sin(x−a)/sin(x+a)dx Concept: Integration Using Trigonometric Identities.
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