Without using trigonometric tables, prove that:
(i) \( \cos 81^{\circ}-\sin 9^{\circ}=0 \)
(ii) ...
Without using trigonometric tables, prove that:
(i) \( \cos 81^{\circ}-\sin 9^{\circ}=0 \)
(ii) \( \tan 71^{\circ}-\cot 19^{\circ}=0 \)
(iii) \( \operatorname{cosec} 60^{\circ}-\sec 30^{\circ}=0 \)
(iv) \( \cot 34^{\circ}-\tan 56^{\circ}=0 \)
(v) \( \sin ^{2} 48^{\circ}+\sin ^{2} 42^{\circ}=1 \)
(vi) \( \cos ^{2} 72^{\circ}+\cos ^{2} 18^{\circ}=1 \)
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