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Trigonometry |
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Trigonometric
Functions and Inverse Trigonometric Functions |
Trigonometric
functions graphs and relations |
The
sine function and the cosine function graphs and relations |
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Trigonometric
functions and inverse trigonometric functions or
arc-functions |
Trigonometric
functions graphs and relations |
Trigonometric
(cyclometric) functions are defined as the ratios of the sides of a right
triangle containing the angle equal to the argument of the
function in radians.
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Or
more generally, for real arguments, trigonometric
functions are defined in terms of the coordinates of the terminal
point Q of
the arc
(or angle) of the unit circle with the initial point at P(1,
0). |
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sin2x
+ cos2x
= 1 |
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- The
sine function
y
= sin x
is the y-coordinate
of the terminal point of the arc x
of the unit circle. |
The
graph of the sine function is the sine curve or sinusoid. |
In
a right-angled triangle the
sine function is equal to the ratio of the length of the side
opposite the given angle to the length of the hypotenuse. |
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- The
cosine function
y
= cos x
is the x-coordinate
of the terminal point of the arc x
of the unit circle. |
The
graph of the cosine function is the cosine curve or cosinusoid. |
In
a right-angled triangle the cosine function is equal to the
ratio of the length of the side adjacent the given angle to the
length of the hypotenuse. |
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Trigonometry
contents B |
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