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TRIGONOMETRY (CIRCULAR MEASURES (ANGLES (UNIT CIRCLE (radians are oft en…

- - - - EXAMPLES : :checkered_flag:
        
        the line OA rotates 60 degree anticlockwise
        into position OB. Therefore ΑÔΒ = 60°.
        
        the line OA rotates 150 degree clockwise into
        position OC. We measure clockwise rotations with negative
        angles. Th erefore AÔC = −150°
        
        OA can also
        move to position OC by rotating 210 degree anti-clockwise, so also
        AÔC = 210°,
    - - RADIAN & DEGREE
      - CONVERSION
        
        Full turn = 360° = 2π radians
        Half turn = 180° = π radians
        
        To convert from degrees to radians, divide by 180 and
        multiply by π.
        To convert from radians to degrees, divide by π and
        multiply by 180.
    - - a circle with centre O and radius of 1
      - If point A makes a full rotation around the circle, it will cover a
        distance equal to the length of the circumference of the circle.
        As the radius of the circle is 1, the length of the circumference
        is 2π. Hence a full turn measures 2π radians
      - one quarter of a full turn, so it measures
        radians.
      - radians are oft en expressed as
        fractions of π but we can also use decimal approximations.
        
        a right angle measures approximately 1.57 radians OR