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ITMC 2018 Grade 11 National Preliminary set01 Question 15

ITMC · ITMC 2018 Grade 11 National Preliminary set01

Question 15

An integer $x\in[0,90]$ satisfies $\tan x^\circ=(\cos10^\circ+\cos70^\circ)/(\sin10^\circ+\sin70^\circ)$. Find $x$.
  1. $30$
  2. $40$
  3. $50$
  4. $60$
  5. $70$