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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.
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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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