Consider and the constant function on the interval

MATHEMATICS · Subjective · AP · Calculus AB · Limits and Continuity · Limits and Continuity

Problem

Consider f(x)=cos⁡xf(x)=\cos x and the constant function g(x)=0.3g(x)=0.3 on the interval [0,π/2][0,\pi/2]. Determine whether the equation f(x)=g(x)f(x)=g(x) has at least one solution in this interval, and state your conclusion.

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