If \( \sqrt{\left(1-\cos ^{2} \theta\right) \sec ^{2} \theta}=k \tan \theta \) and \( 0\theta90^...

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If \( \sqrt{\left(1-\cos ^{2} \theta\right) \sec ^{2} \theta}=k \tan \theta \) and \( 0\theta90^{\circ} \), then \( k= \)
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