Engineering Board Exam Reviewer · Trigonometric Equations · hard

Find the largest solution of 3 x+ x= 2 in the interval 0°≤ x<360°.

1. 15°
2. 75°
3. 165°
4. 105°

Answer

D. 105°

Solution

3 x+ x=2 (x+30°)= 2 (x+30°)= 2/2. x+30°=45° or 135°, so x=15° or 105°. The largest is 105°.

More Trigonometric Equations questions

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

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