JEE Main 20178 Apr, Morning shiftMathematicsMediumMatrices and Determinants245× since 2002If S={x∈[0,2π]:∣0cosx−sinxsinx0cosxcosxsinx0∣=0},S = \left\{ {x \in \left[ {0,2\pi } \right]:\left| {\matrix{ 0 & {\cos x} & { - \sin x} \cr {\sin x} & 0 & {\cos x} \cr {\cos x} & {\sin x} & 0 \cr } } \right| = 0} \right\},S=⎩⎨⎧x∈[0,2π]:0sinxcosxcosx0sinx−sinxcosx0=0⎭⎬⎫, then ∑x∈Stan(π3+x)\sum\limits_{x \in S} {\tan \left( {{\pi \over 3} + x} \right)}x∈S∑tan(3π+x) is equal to :AOption A. 4+234 + 2\sqrt 34+23BOption B. −2+3- 2 + \sqrt 3−2+3COption C. −2−3- 2 - \sqrt 3−2−3DOption D. − 4−23-\,\,4 - 2\sqrt 3−4−23CheckSkip · show solution
