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  1. Two angles in standard position, having coincident terminal sides are called "coterminal angles."
    e.g. 300, -3300 are coterminal angles.
    Note that with a given angle, there are unlimited number of coterminal angles.
    If x is an angle measured in degrees then its coterminal angles are given by, [coterminal angle of x = x0 + n (3600)], n being positive, negative or 0 integer.

1. Name 5 angles that are coterminal with - 600

Solution

Put       n = -2, -1, 0, 1, 2, 3.
when    n = -2, - 600 + (-2) (3600) = - 7800
            n = -1, - 600 + (-1) (3600) = - 4200
            n = 0, - 600 + (0) (3600) = - 600
            n = 1, - 600 + (1) (3600) = - 3000
            n = 2, - 600 + (2) (3600) = 6600
            n = 3, - 600 + (3) (3600) = 10200



2. Is an angle of measure 2000, coterminal with an angle of measure 9400?

Solution

       9400 = 2000 + n (3600 )
\    9400 - 2000 = n (3600 )
\    7400 = n (360)
\    n = which is not an integer.
\    The two angles are not coterminal.
  1. If the terminal side of an angle coincides with one of the co-ordinate axes, then the angle is called as "Quadrantal angle."

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Index

2.1 Trigonometric Ratio of Acute Angles
2.2 Fundamental Relation between the trigonometric Ratios of an angle
2.3 Functions of General Angles or t Ratio
2.4 Tables of Trigonometric Function
Supplementary Problems

Chapter 3





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