Question:
Solve:
\[
\int \frac{\sin x}{\sin (x+a)} \, dx.
\]
Solve:
\[ \int \frac{\sin x}{\sin (x+a)} \, dx. \]Show Hint
Use trigonometric identities to simplify integrals involving sine and cosine.
Updated On: Mar 3, 2025
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Solution and Explanation
We use the substitution:
\[
I = \int \frac{\sin x}{\sin (x+a)} dx.
\]
Using the identity:
\[
\sin (x+a) = \sin x \cos a + \cos x \sin a,
\]
we express the integral in a solvable form and integrate accordingly.
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