Engineering Board Exam Reviewer · Trigonometric Equations · hard

Find the sum of all solutions of 3x= x in the interval 0°≤ x<360°.

  1. 720°
  2. 900°
  3. 810°
  4. 1080°

Answer

B. 900°

Solution

3x- x=2 2x x=0. x=0 x=0°,180°; 2x=0 x=45°,135°,225°,315°. Sum =0+180+45+135+225+315=900°.

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