Which of the following statements are always correct (where Q denotes the set of ratationals)?

(1) tan⁡θ=1−cos⁡2θsin⁡2θ. Hence, option (l) is correct.(2)  sin⁡2θ=2tan⁡θ1+tan2⁡θcos⁡2θ=1−tan2⁡θ1+tan2⁡θtan⁡2θ=2tan⁡θ1−tan2⁡θHence, option (2) is correct.(3) tan⁡3θ=sin⁡3θcos⁡3θ. Hence, option (3) is correct.(4) sin⁡θ=1/3, which is rational but cos⁡3θ=cos⁡θ4cos2⁡θ−3,which is irrational.Hence, option (4) is incorrect.