Trigonometry
Consider the following figure
sin
B =
=
cos
B =
=
tan
B =
=
i.e.,
tan B =
cosec
B =
sec
B =
cot
B =
sin (A + B) = sin A cosB + cos A sin B
sin (A - B) = sin A cosB - cos A sin B
cos (A + B) = cos A cosB - sin A sin B
cos (A - B) = cos A cosB + sin A sin B
sin 2x = 2 sin x cos x
sin
C + sin D =
sin
C - sin D =
cos
C + cos D =
cos
C - cos D =
If
t = tan (
)
then,
sin
x =
cos
x =
tan
x =
sin
A cos B =
[sin
(A+B) + sin (A - B) ]
cos
A sin B =
[sin
(A+B) - sin (A - B) ]
cos
A cos B =
[cos
(A+B) + cos (A - B) ]
sin
A sin B =
[cos
(A - B) - cos (A + B) ]
Ratios of some particular angles
|
x (in degrees) |
sin x |
cos x |
tan x |
|---|---|---|---|
|
0 |
0 |
1 |
0 |
|
90 |
1 |
0 |
¥(infinity) |
|
30 |
|
|
|
|
60 |
|
|
|
|
180 |
0 |
-1 |
0 |
|
45 |
|
|
1 |
Other Analytical Geometry pages
|
|
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