Engineering Board Exam Reviewer · Trigonometric Equations · medium

Find the sum of all solutions of 2 2 - -1=0 in the interval 0°≤ <360°.

  1. 420°
  2. 540°
  3. 630°
  4. 720°

Answer

C. 630°

Solution

Factor: (2 +1)( -1)=0. =1 =90°; =- 12 =210°,330°. Sum =90+210+330=630°.

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