MCQ
$\frac{{\sin (B + A) + \cos (B - A)}}{{\sin (B - A) + \cos (B + A)}} = $
- A$\frac{{\cos B + \sin B}}{{\cos B - \sin B}}$
- ✓$\frac{{\cos A + \sin A}}{{\cos A - \sin A}}$
- C$\frac{{\cos A - \sin A}}{{\cos A + \sin A}}$
- Dએકપણ નહિ.
$ = \frac{{\sin \,(B + A) + \sin \,({{90}^o} - \overline {B - A} )}}{{\sin \,(B - A) + \sin \,({{90}^o} - \overline {A + B} )}}$
$ = \,\frac{{2\,\sin \,(A + {{45}^o})\,\cos \,({{45}^o} - B)}}{{2\,\sin \,({{45}^o} - A)\,\cos \,({{45}^o} - B)}}$
$ = \frac{{\sin \,(A + {{45}^o})}}{{\sin \,({{45}^o} - A)}} $
$= \frac{{\cos A + \sin A}}{{\cos A - \sin A}}$.
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( જ્યાં $l$ એ સાન્ત સંખ્યા છે )