University:
York University
Course:
MATH 1013 | Applied Calculus
Academic year:

2023
Views:

490

Pages:

3
Author:

Niklas

I. Basic Trigonometry I. DEGREES AND RADIANS in a full circle, there are: 360 degrees 2π radians to convert from one form to the other: degrees to radians: multiply by π/180 radians to degrees: multiply by 180/π ex. convert 170° to radians 170° * π/180 = 17π/18 ex. convert 7π/5 to degrees 7π/5 * 180/π = 252° convert to opposite unit 125° = 25π/36 π/4 = 45° 60° = π/3 π/6 = 30° 360° = 2π 0.5π = 90° II. ANGLE MEASURE: DEG II 90° 180° III 270° IV 360° RAD I π/2 0 II π III 3π/2 IV 2π in a full circle, there are: 360 degrees 2π radians to convert from one form to the other: degrees to radians: multiply by π/180 radians to degrees: multiply by 180/π ex. convert 170° to radians 170° * π/180 = 17π/18 ex. convert 7π/5 to degrees 7π/5 * 180/π = 252° convert to opposite unit 125° = 25π/36 π/4 = 45° 60° = π/3 π/6 = 30° 360° = 2π 0.5π = 90° II. ANGLE MEASURE: DEG II 90° 180° III 270° IV 360° RAD I π/2 0 II π III 3π/2 IV 2π Standard form of an angle: a positive angle is measured counterclockwise; a negative angle is measured clockwise the vertex of the angle is centered on the origin. the initial side of an angle is the positive x-axis. the terminal side is drawn by measuring from the initial side. represented by θ. coterminal angles angles whose initial and terminal are identical ↳ can be found by adding ±360° or 2π rad (repeating a trip around a full circle). ↳ represented by θ find two positive and two negative coterminal angles 60° 13π/14 420° -300° 41π/14 69π/14 780° -660° -15π/14 -43π/14 III. SKETCHING AN ANGLE 220° 10. -130° 11. 700° 3π/4 13. 7π/3 14. -6π/5 terminal side 4