The equation has at least one root in the interval:

MATHEMATICS · Multi correct · AP · Calculus AB · Limits and Continuity · Limits and Continuity

Problem

The equation sin⁡x+xcos⁡x=0\sin x+x\cos x=0 has at least one root in the interval: (1) (−π2,0)\left(-\frac\pi2,0\right) (2) (0,π)(0,\pi) (3) (−π2,3π2)\left(-\frac\pi2,\frac{3\pi}{2}\right) (4) None of these

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