Engineering Board Exam Reviewer · Trigonometric Equations · medium

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

1. 45°
2. 135°
3. 90°
4. 180°

Answer

C. 90°

Solution

2 (x+45°)=1 x+45°=45° or 135°, so x=0° or 90°. The sum is 90°.

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