Physics Notebook | Trigonometry Fundamentals | 11th Grade | 2025/26

NOTEBOOK SHEET 1 (ANGLE CONVERSIONS SUMMARY)



Angle Conversions Core Reference

Fundamental Reference Formulas:



180° = π rad


1° = π / 180 rad 1 rad = 180° / π


Conversion Summary Table


No. Convert Radian into Degree Convert Degree into Radian


(i) π rad = 180° 30° = 30(π/180) = π/6

(ii) π/2 rad = 90° 60° = 60(π/180) = π/3

(iii) π/6 rad = 30° 90° = 90(π/180) = π/2

(iv) π/4 rad = 45° 45° = 45(π/180) = π/4

(v) π/8 rad = 22.5° 120° = 120(π/180) = 2π/3

(vi) 3π/5 rad = 108° 150° = 150(π/180) = 5π/6

(vii) 3π/2 rad = 270° 135° = 3π/4 rad




Sheet 1

, NOTEBOOK SHEET 2 (RADIAN TO DEGREE DERIVATIONS)



Detailed Radian to Degree Conversions

Demonstrating full fractional division cancellations:


Example (i):


π/2 × (180° / π) = 90°


Alternative Form:


1/2 × 180° = 90°


Example (ii):


π/6 × (180° / π) = 30°


Alternative Form:


1/6 × 180° = 30°


Example (iii):


π/4 × (180° / π) = 45°


Example (iv):


π/8 × (180° / π) = 22.5°




Sheet 2