Basic theory of trigonometry
1 ) Relationship between degrees and radians
2 ) Length of a circular arc
3 ) Area of a circular segment
Basic trigonometric ratios for a right triangle
4 ) Sin angle definition
5 ) Cos angle definition
6 ) Tan angle definition
Contradictions of basic trigonometric ratios
7 ) Cosec angle definition
8 ) Sec angle definition
9 ) Cot angle definition
(-) Definition of angles
10 ) Definition of Sin , Cos and Tan angles
11 ) Definition of Cosec , Sec and Cot angles
Trigonametry Formulas
1 ) Sin and Cos Relationship
2 ) Sec and Tan Relationship
3 ) Cosec and Cot Relationship
4 ) Multiplication of Tan and Cot
5 ) Multiplication of Sin and Cosec
6 ) Multiplication of Sec and Cos
(A + B) and (A - B) formulas ( )
7 ) Definition of Sin( A + B ) and Sin ( A – B )
8 ) Definition of Cos( A + B ) and Cos ( A – B )
9 ) Definition of Tan( A + B ) and Tan ( A – B )
2A formulas - Half angle formulas
10 ) Sin 2A formula
11 ) Cos 2A formula
12 ) Tan 2A formula
3A formulas – 1/3 angle formulas
13 ) Sin 3A formula
14 ) Cos 3A formula
15 ) Tan 3A formula
3rd power of Sin and Cos
16 ) 3rd power of Sin
17 ) 3rd power of Cos
C + D and C – D Addition and subtraction formulas
18 ) SinC + SinD and SinC – SinD formulas
19 ) CosC + CosD and CosC – CosD formulas
Inverse of the C + D and C - D formulas
20 ) 2SinA.CosB formula
21 ) 2CosA.SinB formula
22 ) 2CosA.CosB formula
23 ) 2SinA.SinB formula
Sin2A and Cos2A formulas, based on TanA formulas
24 ) Sin2A and SinA formulas based on TanA and Tan(A/2)
25 ) Cos2A and CosA formulas based on TanA and Tan(A/2)