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2 cos x cos y =
Cos ( x+y) - cos ( x-y)
Cos ( x+y) +cos ( x-y)
Sin ( x+y) - sin ( x-y)
Sin ( x+y) + sin ( x-y)
- 2 sin x sin y =
Sin ( x+y) - sin ( x-y)
Sin ( x+y) +sin ( x-y)
Cos ( x+y) +cos ( x-y)
Cos ( x+y) - cos ( x-y)
Cos 3x =
4cos3x−3cosx
4cosx−3cosx
4sin3x−3cosx
4sin3x−3sinx
1+ cot² x =
Cos²x
Sec²x
Cosec²x
tan²x
Cos ( x-y)
Cos x cos y + cos x cos y
Cos x sin y+ cos x sin y
Cos x cos y - sin x sin y
Cos x cos y + sin x sin y
Cos (90⁰ + x) =
Sin x
- sin x
- cos x
Cos x
Sin ( 360⁰ - x) =
Sin x
Cos x
- sin x
- cos x
Cos 2x =
2 cos²x- 1
2 sin²x -1
Sin²x- cos²x
1- sinx
Sin ( 360⁰ * n + x ) =
Cos x
-cos x
Sin x
- sin x
Cos ( 360⁰ - x ) =
Sin x
Cos x
- sinx
- cos x
Sec²A - tan²A =
0
-1
1
2
Cot²x - cosec²x =
1
2
-1
0
Cos 2x =
Cos²x- sin²x
2 cos²-1
Sin²x- cos²x
1-2sin²x
(1- tan²x)/( 1+tan²x)
Sin A =
2 sin ( A/2) cos ( A/2)
- cos A sin A
[2 tan(A/2)] / 1+ tan² ( A/2)
2sin²A
Sin 360⁰ =
0
1
-1
1/2
2+2+2cos4x=
2cos x
2sin x
2 cos2x
cos x
If tan x=43, π<x<23π then the value of sin 2x is
−101
103
101
−103
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