Engineering Board Exam Reviewer · Trigonometric Equations · medium

Find the angle x between 0° and 90° that satisfies x= 2x.

  1. 60°
  2. 45°
  3. 15°
  4. 30°

Answer

D. 30°

Solution

x=1-2 2x 2 2x+ x-1=0 (2 x-1)( x+1)=0. In the first quadrant, x= 12, so x=30°.

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