If \( \sec (x+\alpha)+\sec (x-\alpha)=2 \sec x \), prove that \( \cos x=\pm \sqrt{2} \cos \frac{...
If \( \sec (x+\alpha)+\sec (x-\alpha)=2 \sec x \), prove that \( \cos x=\pm \sqrt{2} \cos \frac{\alpha}{2} \)
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