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Practice Worksheet: Radian and Degree Measure Change each degree measure to radian measure in terms of x. EXACT ANSWERS, DO NOT ROUND. Show your work. 1. 36° 2.-250° 180 3.-145° 36⁰° X X=- T 180X-36 TT 180 180 5. 18° 6.-820⁰ 4. 870°

Practice Worksheet: Radian and Degree Measure Change each degree measure to radian measure in terms of x. EXACT ANSWERS, DO NOT ROUND. Show your work. 1. 36° 2.-250° 180 3.-145° 36⁰° X X=- T 180X-36 TT 180 180 5. 18° 6.-820⁰ 4. 870°

Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
8th Edition
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
Publisher:Charles P. McKeague, Mark D. Turner
Chapter8: Complex Numbers And Polarcoordinates
Section8.3: Products And Quotients In Trigonometric Form
Problem 48PS
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**Educational Worksheet: Radian and Degree Measure** **Section 1: Degree to Radian Conversion** Convert each degree measure to radian measure in terms of π. Provide exact answers and do not round. Show all your work. 1. \( 36^\circ \) \[ \frac{36 \pi}{180} = \frac{\pi}{5} \] 2. \( -250^\circ \) 3. \( -145^\circ \) 4. \( 870^\circ \) 5. \( 18^\circ \) 6. \( -820^\circ \) **Section 2: Radian to Degree Conversion** Convert each radian measure to degree measure. Round to one decimal place if needed. Show all your work. 7. \( \frac{13\pi}{30} \) 8. \( 4\pi \) 9. \( -\frac{2\pi}{5} \) 10. \( \frac{3\pi}{16} \) 11. \( -\frac{7\pi}{9} \) 12. \( -1 \) **Section 3: Determining the Quadrant** Determine the quadrant in which the terminal side of the angle lies. Make a quick sketch to justify your answer. If the angle is given in degrees, work in degrees; if the angle is given in radians, work in radians. 13. \( -156^\circ \) 14. \( 371^\circ \) 15. \( -\frac{5\pi}{3} \) **Explanation of Given Example**: - For problem 1: \( 36^\circ \) is converted to radians by using the formula: \[ \text{Radians} = \frac{\text{Degrees} \times \pi}{180} \] So, \[ \frac{36 \times \pi}{180} = \frac{\pi}{5} \] Feel free to solve the provided exercises. If sketches or graphs are necessary, ensure they are accurate and neat to help visualize the problem solutions effectively.
Transcribed Image Text:**Educational Worksheet: Radian and Degree Measure** **Section 1: Degree to Radian Conversion** Convert each degree measure to radian measure in terms of π. Provide exact answers and do not round. Show all your work. 1. \( 36^\circ \) \[ \frac{36 \pi}{180} = \frac{\pi}{5} \] 2. \( -250^\circ \) 3. \( -145^\circ \) 4. \( 870^\circ \) 5. \( 18^\circ \) 6. \( -820^\circ \) **Section 2: Radian to Degree Conversion** Convert each radian measure to degree measure. Round to one decimal place if needed. Show all your work. 7. \( \frac{13\pi}{30} \) 8. \( 4\pi \) 9. \( -\frac{2\pi}{5} \) 10. \( \frac{3\pi}{16} \) 11. \( -\frac{7\pi}{9} \) 12. \( -1 \) **Section 3: Determining the Quadrant** Determine the quadrant in which the terminal side of the angle lies. Make a quick sketch to justify your answer. If the angle is given in degrees, work in degrees; if the angle is given in radians, work in radians. 13. \( -156^\circ \) 14. \( 371^\circ \) 15. \( -\frac{5\pi}{3} \) **Explanation of Given Example**: - For problem 1: \( 36^\circ \) is converted to radians by using the formula: \[ \text{Radians} = \frac{\text{Degrees} \times \pi}{180} \] So, \[ \frac{36 \times \pi}{180} = \frac{\pi}{5} \] Feel free to solve the provided exercises. If sketches or graphs are necessary, ensure they are accurate and neat to help visualize the problem solutions effectively.
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