Subjects trigonometry

Degrees To Radians

Step-by-step solutions with LaTeX - clean, fast, and student-friendly.

Search Solutions

Degrees To Radians


1. The problem is to convert an angle of 150° to radians. 2. Recall the conversion formula between degrees and radians: $$\text{radians} = \text{degrees} \times \frac{\pi}{180}$$ 3. Substitute 150° into the formula: $$150 \times \frac{\pi}{180} = \frac{150\pi}{180}$$ 4. Simplify the fraction by dividing numerator and denominator by 30: $$\frac{150\pi}{180} = \frac{5\pi}{6}$$ 5. Therefore, 150° in radians is $$\frac{5\pi}{6}$$. 6. Comparing with the options, the correct answer is d. $$\frac{5\pi}{6}$$.