Math  /  Trigonometry

QuestionConvert to radians
1. 270-270^{\circ}
2. 180-180^{\circ}
5. Ω4-\frac{\Omega}{4} radians 4545^{\circ} to ralians
3. 5π6\frac{5 \pi}{6} radians
4. 744\frac{7 \sqrt{4}}{4} radians
6. 11Ω18-\frac{11 \Omega}{18} radians
5. - 14-\frac{1}{4} radians
7. 2π9\frac{2 \pi}{9} radians

Studdy Solution
Convert 2π9\frac{2\pi}{9} radians to degrees:
2π9×180π=40 \frac{2\pi}{9} \times \frac{180}{\pi} = 40^\circ
The converted values are:
1. 270=3π2 radians-270^\circ = -\frac{3\pi}{2} \text{ radians}
2. 180=π radians-180^\circ = -\pi \text{ radians}
3. 45=π4 radians45^\circ = \frac{\pi}{4} \text{ radians}
4. 5π6 radians=150\frac{5\pi}{6} \text{ radians} = 150^\circ
5. 744 radians201.06\frac{7\sqrt{4}}{4} \text{ radians} \approx 201.06^\circ
6. π4 radians=45-\frac{\pi}{4} \text{ radians} = -45^\circ
7. 2π9 radians=40\frac{2\pi}{9} \text{ radians} = 40^\circ

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