Engineering Board Exam Reviewer · Trigonometric Equations · hard

Find the smallest positive solution of 4x- 4x= 12.

  1. 30°
  2. 120°
  3. 60°
  4. 15°

Answer

C. 60°

Solution

4x- 4x=( 2x- 2x)(1)=- 2x= 12 2x=- 12. 2x=120° or 240°, so the smallest x is 60°.

More Trigonometric Equations questions

  1. Find the sum of all solutions of 3x= x in the interval 0°≤ x<360°.
  2. Find the smallest positive solution of x+ x=2.
  3. Find the angle x between 0° and 90° that satisfies x= 2x.
  4. Find the sum of all solutions of x+ x=1 in the interval 0°≤ x<360°.
  5. Find the largest solution of 2x= x in the interval 0°≤ x<360°.
  6. Find the smallest positive solution of 2x= 3.
  7. How many solutions does 2 = 12 have in the interval 0°≤ <360°?
  8. Find the sum of all solutions of 2 2 - -1=0 in the interval 0°≤ <360°.
  9. Find the smallest positive angle for which =- 12.
  10. Find the angle between 0° and 90° that satisfies 2 =1.

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