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1985 AMC 12 Question 16

AMC12 · 1985 AMC 12

Question 16

If $A=20^\circ$ and $B=25^\circ,$ then the value of $(1+\tan A)(1+\tan B)$ is
  1. $\sqrt3$
  2. $2$
  3. $1+\sqrt2$
  4. $2(\tan A+\tan B)$
  5. none of these