The equation possesses a solution if

MATHEMATICS · Single correct · A Level · Mathematics · Trigonometry · Trigonometry

Problem

The equation sin⁡4x−(k+2)sin⁡2x−(k+3)=0\sin^4x-(k+2)\sin^2x-(k+3)=0 possesses a solution if (1) k>−3k>-3 (2) k<−2k<-2 (3) −3≤k≤−2-3\leq k\leq-2 (4) kk is any positive value

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