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2017 AMC 12A Question 15

AMC12 · 2017 AMC 12A

Question 15

Let $f(x)=\sin x+2\cos x+3\tan x,$ using radian measure for the variable $x.$ In what interval does the smallest positive value of $x$ for which $f(x)=0$ lie?
  1. $(0,1)$
  2. $(1,2)$
  3. $(2,3)$
  4. $(3,4)$
  5. $(4,5)$