Ir \( \triangle A B C, \angle A=\theta, \angle B=90^{\circ} \) and \( \angle C=\phi \).If \( B C...

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Ir \( \triangle A B C, \angle A=\theta, \angle B=90^{\circ} \) and \( \angle C=\phi \).If \( B C=x \) and \( A C=(x+2) \), find the values of(i) \( (\sqrt{x+1}) \cot \phi \),(ii) \( \left(\sqrt{x^{3}+x^{2}}\right) \tan \theta \),(iii) \( \cos \theta \).
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