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Choose the correct option. Justify your choice.
(i) \( 9 \sec ^{2} \mathrm{~A}-9 \tan ^{2} \mathrm{~A}= \)
(A) I
(B) 9
(C) 8
(D) 0
(ii) \( (1+\tan \theta+\sec \theta)(1+\cot \theta-\operatorname{cosec} \theta)= \)
(A) 0
(B) \( \mathrm{I} \)
(C) 2
(D) \( -1 \)
(iii) \( (\sec \mathrm{A}+\tan \mathrm{A})(1-\sin \mathrm{A})= \)
(A) \( \sec \mathrm{A} \)
(B) \( \sin \mathrm{A} \)
(C) \( \operatorname{cosec} A \)
(D) \( \cos \mathrm{A} \)
(iv) \( \frac{1+\tan ^{2} \mathrm{~A}}{1+\cot ^{2} \mathrm{~A}}= \)
(A) \( \sec ^{2} A \)
(B) \( -1 \)
(C) \( \cot ^{2} \mathrm{~A} \)
(D) \( \tan ^{2} \mathrm{~A} \)
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