Trigonometry
Trigonometric Functions
Unit of measurement of angles - a radian (the circular measure)
Protractor - an instrument for measuring angles
Degrees to radians and radians to degrees conversion examples
The unit circle or trigonometric circle
Division of the circumference of the unit circle to the characteristic angles
Definitions of trigonometric functions
Periodicity of trigonometric function
s
Signs of trigonometric functions
The table of signs of trigonometric functions
Trigonometric functions of arcs from
0
to
±
2
p
Trigonometric functions of negative arcs or angles
Trigonometric functions of complementary angles
Trigonometric functions of supplementary angles
Trigonometric functions of arcs that differ on
p/
2
Trigonometric functions of arcs that differ on
p
Trigonometric functions of arcs
whose sum is
2
p
Trigonometric functions values and identities examples
Trigonometric functions of angles lying on axes
Values of trigonometric functions of arcs
p
/6
,
p
/4
and
p
/3
The values of the trigonometric functions of arcs that are multipliers of
30° (
p
/6
)
and
45° (
p
/4
)
Calculation of values of trigonometric functions
Trigonometric reduction formulas - the reference angles
Calculation of values of trigonometric functions of an arbitrary angle x
, examples
Basic relationships between trigonometric functions of the same angle
Basic relationships between trigonometric functions of the same angle shown in the unit circle
Basic relationships between trigonometric functions of the same angle shown in the tabular form
Basic relationships between trigonometric functions of the same angle, examples
The addition formulas and related identities
The sum and difference formulas for the trigonometric functions
Deriving the addition formulas for sine and cosine functions
The addition formulas for tangent and cotangent functions
Trigonometric functions of double angles, double angle formulas
Trigonometric functions expressed by the half angle
Trigonometric functions of double angles expressed by the tangent function
Trigonometric functions expressed by the tangent of the half angle
Half angle formulas
Trigonometric functions expressed by the cosine of the double angle
Sum to product and product to sum formulas or identities
Sum to product formulas for the sine and the cosine functions
Sum to product formulas for the tangent and the cotangent functions
The product to sum formulas for the sine and cosine functions
Trigonometric identities examples
Graphs of Trigonometric Functions
The Graph of the Sine Function
f
(
x
)
=
sin
x
Properties of the sine function
Domain and range of the sine function
Zeros of the sine function
Extremes, maximum and minimum of the sine function
Parity and periodicity of the sine function
Behavior of the sine function
The Graph of the Cosine Function
f
(
x
)
=
cos
x
Properties of the cosine function
Domain and range
of the cosine function
Zeros of
the cosine function
Extremes, maximum and minimum of the cosine function
Parity and periodicity of the cosine function
Behavior of the cosine function
The Graph of the Tangent Function
f
(
x
)
=
tan
x
Properties of the tangent function
Domain and range of the tangent function
Zeros of the tangent function
Parity and periodicity of the tangent function
The tangent function behavior and monotony
The Graph of the Cotangent Function
f
(
x
)
=
co
t
x
Properties of the cotangent function
Domain and range
Zeros of the cotangent function
Parity and periodicity of the cotangent function
The cotangent function behavior and monotony
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