- SinA = P/H
- CosA = B/H
- TanA = P/B
- CosecA = H/P
- SecA = H/B
- CotA = B/P
Reciprocal Relation of Trigonometric formulas for class 10
1. Cosec A = 1/Sin A
2. Sin A = 1/Cosec A
3. Sec A = 1/Cos A
4. Cos A = 1/Sec A
5. Cot A = 1/Tan A
6. Tan A = 1/Cot A
Trigonometric Angles
| Angles | 0° | 30° | 45º | 60° | 90° |
| Sin θ | 0 | 1/2 | 1/√2 | √3/2 | 1 |
| Cos θ | 1 | √3/2 | 1/√2 | 1/2 | 0 |
| Tan θ | 0 | 1/√3 | 1 | √3 | ∞ |
| Cosec θ | ∞ | 2 | √2 | 2/√3 | 1 |
| Sec θ | 1 | 2/√3 | √2 | 2 | ∞ |
| Cot θ | ∞ | √3 | 1 | 1/√3 | 0 |
Trigonometric ratios of complementary Angles
1. Sin (90-A) = Cos A
2. Cos (90-A) = Sin A
3. Tan (90-A) = Cot A
4. Cot (90-A) = Tan A
5. Sec (90-A) = Cosec A
6. Cosec (90-A) = Sec A
Some other important class 10 Trigonometry formula
1. TanA x CotA = 1
2. SinA x CosecA = 1
3. CosA x SecA =1
4. TanA = SinA/CosA
4. CotA = CosA/SinA
Trigonometry identity
An equation involving trigonometric ratios of an angle is called a trigonometric identity if it is true for all values of the angle.
Trigonometric identities are useful whenever an expression or equation involves trigonometric functions. Trigonometric identities are true for every value of the variables occurring on both sides of the equation. Geometrically, these identities include some trigonometric functions (e.g. sine, cosine, and tangent) of one or more angles.
Trigonometric Identity Formula for Class 10
1. Sin2A + Cos2A = 1
2. Sec2A + Tan2A = 1
3. Cosec2A + Sec2A = 1
Advance Formula of trigonometry class 10
1. Sin (A+B) = SinA x CosB + CosA x SinB
2. Sin (A-B) = SinA x CosB – CosA x SinB
3. Cos (A+B) = CosA x CosB – SinA x SinB
4. Cos (A-B) = CosA x CosB + SinA x SinB
5. Tan (A+B) = (TanA + TanB)/(1 – TanA x TanB)
6. Tan (A-B) = (TanA – TanB)/(1 + TanA x TanB)
7. Sin2A = 2SinACosA
OR
= 2TanA/(1+Tan2A)
8. Cos2A = Cos2A – Sin2A
OR
= 1 – 2Sin2A
OR
= 2Cos2A – 1
OR
= (1-Tan2A)/(1+Tan2A)
9. Sin3A = 3SinA – 4Sin3A
10. Cos3A = 4Cos3A – 3CosA
11.Tan3A = (3TanA-4Tan2A)/(1+3Tan2A)
12. SinA x Sin2A X Sin4A = ¼ Sin3A
13. CosA x Cos2A x Cos4A = ¼ Cos3A
14. TanA x Tan2A x Tan4A = Tan3A
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