|
|
|
|
|
|
|
|
The
Graph of the Function y = a
sin
(b
x + c) |
The function y = a
sin
x
|
The function y = sin
(b
x) |
The function y = sin
(x + c)
|
The function y = a
sin
(b
x
+ c) |
The
Graph of the Function y = a
cos
(b
x + c) |
The
graphs of the functions,
y = a
sin
(b
x + c) and
y = a
cos
(b
x + c),
examples |
|
Trigonometric
Functions and Inverse Trigonometric Functions |
Trigonometric
functions graphs and relations |
The
sine function and the cosine function graphs and relations |
The
tangent function and the cotangent function graphs and relations |
The
cosecant function
and the
secant function graphs and relations |
The
cosecant function y
= csc x |
The
graph of the cosecant function |
The
secant function
y
= sec x |
The
graph of the secant function |
Inverse Trigonometric Functions or
Arc-functions and their Graphs |
Inverse
functions
|
The
arc-sine function and the arc-cosine function |
The
arc-sine function y = arcsin
x or y = sin-1x |
The
arc-cosine function y = arccos
x or y = cos-1x |
The
graph of the
arc-sine
function and the arc-cosine
function |
The
arc-tangent function and the
arc-cotangent function |
The
arc-tangent function y = arctan
x or
y = tan-1x |
The
arc-cotangent function y = arccot
x or y = cot-1x |
The
graph of the
arc-tangent function and the
arc-cotangent function |
The
arc-cosecant function and the arc-secant function |
The
graph of the
arc-cosecant and the
arc-secant function |
|
|
|
Basic Trigonometric
Equations |
The equation sin
x = a |
The equation
cos
x = a |
The equation
tan
x = a |
The equation cot
x = a |
The
Equations,
sin
(bx + c) = m, -1
<
m <
1,
cos
(bx + c) = m,
-1
<
m <
1,
|
tan
(bx
+ c) = m
and cot
(bx
+ c) = m,
where
b,
c and
m are real
numbers. |
The
Equation
sin
(bx + c) = m, -1
<
m <
1, example |
The
Equation
cos
(bx + c) = m,
-1
<
m <
1, example |
The
Equation
tan
(bx
+ c) = m, example |
The
Equation
cot
(bx
+ c) = m, example |
Equations of the type
a
cos
x +
b
sin
x = c |
Introducing an auxiliary angle
method |
Introducing an auxiliary angle
method example |
Equations that can be
written as f
· g = 0 |
Trigonometric
equations of quadratic form |
Introducing new unknown
t
= tan x/2 |
Introducing new unknown
t
= tan x/2
example |
Homogeneous equations
in sin
x and cos
x |
Homogeneous equations
of first degree a
sin x
+ b
cos
x = 0 |
Homogeneous equations
of second degree a
sin2
x
+ b sin x
cos
x + c
cos2
x = 0 |
The
basic strategy for solving trigonometric equations |
Trigonometric equations
examples |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Copyright
© 2004 - 2020, Nabla Ltd. All rights reserved. |