If and the equation has at least one solution

MATHEMATICS · Single correct · AP · AP Precalculus · Trigonometric and Polar Functions · Trigonometric and Polar Functions

Problem

If a,b∈[0,π]a,b\in[0,\pi] and the equation x2+4+3sin⁡(ax+b)−2x=0x^2+4+3\sin(ax+b)-2x=0 has at least one solution, then the value of a+ba+b can be: (1) 7π2\frac{7\pi}{2} (2) 3π2\frac{3\pi}{2} (3) 9π2\frac{9\pi}{2} (4) None of these

Related theory

Browse the problem library