1. Convert all degrees to radian measures and convert all radian measures to degrees measures. \( \begin{array}{lll}\text { (a) } 79^{\circ} & \text { (f) } 220^{\circ} & \text { (j) }-3 \pi \mathrm{rad} \\ \text { (b) } 25^{\circ} & \text { (g) } \frac{3}{4} \pi \mathrm{rad} & \text { (k) } \frac{7}{4} \pi \mathrm{rad} \\ \text { (c) } 330^{\circ} & \text { (h) } \frac{5}{6} \pi \mathrm{rad} & \\ \text { (d) } 90^{\circ} & \text { (i) } 3 \mathrm{rad} & \text { (l) }-\frac{2}{3} \pi \mathrm{rad} \\ \text { (e) } 120^{\circ} & \end{array} \)
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To convert degrees to radians, use the formula: \( \text{radians} = \frac{\text{degrees} \times \pi}{180} \). Conversely, to convert radians to degrees, the formula is: \( \text{degrees} = \frac{\text{radians} \times 180}{\pi} \). Now let's do the conversions: (a) \( 79^\circ = \frac{79\pi}{180} \) rad ≈ 1.38 rad (b) \( 25^\circ = \frac{25\pi}{180} \) rad ≈ 0.44 rad (c) \( 330^\circ = \frac{330\pi}{180} = \frac{11\pi}{6} \) rad ≈ 5.76 rad (d) \( 90^\circ = \frac{\pi}{2} \) rad ≈ 1.57 rad (e) \( 120^\circ = \frac{120\pi}{180} = \frac{2\pi}{3} \) rad ≈ 2.09 rad (f) \( 220^\circ = \frac{220\pi}{180} = \frac{11\pi}{9} \) rad ≈ 3.85 rad (g) \( \frac{3}{4} \pi \text{rad} = 135^\circ \) (h) \( \frac{5}{6} \pi \text{rad} = 150^\circ \) (i) \( 3 \text{rad} = \frac{3 \times 180}{\pi} ≈ 171.89^\circ \) (j) \( -3\pi \text{rad} = -540^\circ \) (k) \( \frac{7}{4} \pi \text{rad} = 315^\circ \) (l) \( -\frac{2}{3} \pi \text{rad} = -120^\circ \) Now you have all the conversions ready to go!