Which of the following is(are) true? (whenever defined)....
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Which of the following is(are) true? (whenever defined)
(1) \( \log _{\cos \theta}\left(1-\sin ^{2} \theta\right)=2 \)
(2) \( \sec ^{2} x+\cos ^{2} x-\tan ^{2} x+\sin ^{2} x=2 \)
(3) If \( \tan \theta=\frac{p}{q} \), then \( \frac{(p \sin \theta-q \cos \theta)}{(p \sin \theta+q \cos \theta)}=\frac{\left(p^{2}-q^{2}\right)}{\left(p^{2}+q^{2}\right)} \)
(4) \( 2\left(\sin ^{6} x+\cos ^{6} x\right)-3\left(\sin ^{4} x+\cos ^{4} x\right)=-1 \)
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