MC-MATH-3-TRIGONOMETRY.pdf
- 1. File MC MATH 3 TRIGONOMETRY Edit Format View B I U ANGLE MEASUREMENT REPORT OF EVANGELISTA AND VILLAMER
- 2. Objectives: understand the radian measure learn the method for converting degree to radians and vice-versa convert between degree and radian measurements At the end of the lesson, the learners are expected to:
- 3. RADIAN Page 3 is the measure of an angle θ that, when drawn as a central angle, subtends an arc whose length equals the length of the radius of the circle.
- 4. ARC LENGTH is the distance between two points along a section of a curve. The formula for getting the arc length: s=rθ where s= arc length, r=radius, and θ= radian measure Page 4
- 5. RADIUS defined as a line segment joining the center of the circle or a sphere to its circumference or boundary Page 5 The formula for getting the radius: r=s/θ where s= arc length, r=radius, and θ= radian measure
- 6. WHAT IS THE RADIAN MEASURE OF CENTRAL ANGLE AOB? You want the arc length and the radius to have the same units, but they are given to you in inches and feet. You could convert either one. The arc determined by ∠AOB has length s= 48 inches. In this circle, r= 2 feet. Substitute this and the value above for into the formula. Page 6
- 7. THE CENTRAL ANGLE SHOWN HAS A MEASURE OF 1/2 RADIAN. WHAT IS THE LENGTH OF ARC CD? In this circle, r= 4 inches. You know that θ= 1/2 . Substitute these numbers into the arc length formula. Page 7
- 8. IF THE LENGTH OF ARC EF IS 42 MM AND THE MEASURE OF ∠EOF IS 3 RAD, WHAT IS THE LENGTH OF THE RADIUS? You are given that s=42 mm, and θ= 3. Substitute these values into the arc length formula. Solve the equation for r. Rewrite as a mixed number. Page 8
- 9. CONVERTING FROM DEGREES TO RADIANS AND VICE-VERSA Page 9
- 10. DEGREES TO RADIANS To convert degrees to radians, multiply the given number of degrees by π/180°. Example: 50°-> 50 ° ⋅ π/180°= 5π/18 radians Page 10
- 11. To convert radians to degrees, multiply the given number of radians by 180°/ π. Example: 5π/6 rad -> 5π/6 ⋅ 180°/π = 150° Page 11 RADIANS TO DEGREES
- 12. File Thank You For Listening Edit Format View Do you have any questions?
- 13. QUIZ
- 14. QUIZ