Essential Thing Mathematics Formulae For Students

Essential Thing Mathematics Formulae For Students

Essential Thing Mathematics Formulae For Students

Basic Maths FormulaeĀ  generally used in everywhere in mathematics. Basic fundamental math formulae for students.

1. (Ī±+Š²)Ā²= Ī±Ā²+2Ī±Š²+Š²Ā²

 

2. (Ī±+Š²)Ā²= (Ī±-Š²)Ā²+4Ī±Š²

 

3. (Ī±-Š²)Ā²= Ī±Ā²-2Ī±Š²+Š²Ā²

 

4. (Ī±-Š²)Ā²= (Ī±+Š²)Ā²-4Ī±Š²

 

5. Ī±Ā² + Š²Ā²= (Ī±+Š²)Ā² – 2Ī±Š².

 

6. Ī±Ā² + Š²Ā²= (Ī±-Š²)Ā² + 2Ī±Š².

 

7. Ī±Ā²-Š²Ā² =(Ī± + Š²)(Ī± – Š²)

 

8. 2(Ī±Ā² + Š²Ā²) = (Ī±+ Š²)Ā² + (Ī± – Š²)Ā²

 

9. 4Ī±Š² = (Ī± + Š²)Ā² – (Ī±-Š²)Ā²

 

10. Ī±Š² ={(Ī±+Š²)/2}Ā²-{(Ī±-Š²)/2}Ā²

 

11. (Ī± + Š² + Ā¢)Ā² = Ī±Ā² + Š²Ā² + Ā¢Ā² + 2(Ī±Š² + Š²Ā¢ + Ā¢Ī±)

 

12. (Ī± + Š²)Ā³ = Ī±Ā³ + 3Ī±Ā²Š² + 3Ī±Š²Ā² + Š²Ā³

 

13. (Ī± + Š²)Ā³ = Ī±Ā³ + Š²Ā³ + 3Ī±Š²(Ī± + Š²)

 

14. (Ī±-Š²)Ā³=Ī±Ā³-3Ī±Ā²Š²+3Ī±Š²Ā²-Š²Ā³

 

15. Ī±Ā³ + Š²Ā³ = (Ī± + Š²) (Ī±Ā² – Ī±Š² + Š²Ā²)

 

16. Ī±Ā³ + Š²Ā³ = (Ī±+ Š²)Ā³ – 3Ī±Š²(Ī±+ Š²)

 

17. Ī±Ā³ – Š²Ā³ = (Ī± – Š²) (Ī±Ā² + Ī±Š² + Š²Ā²)

 

18. Ī±Ā³ – Š²Ā³ = (Ī±-Š²)Ā³ + 3Ī±Š²(Ī±-Š²)

 

ѕĪ¹Ī·0Ā° =0

 

ѕĪ¹Ī·30Ā° = 1/2

 

ѕĪ¹Ī·45Ā° = 1/āˆš2

 

ѕĪ¹Ī·60Ā° = āˆš3/2

 

ѕĪ¹Ī·90Ā° = 1

 

Ā¢ĻƒŃ• Ī¹Ń• ĻƒĻĻĻƒŃ•Ī¹Ń‚Ń” ĻƒĘ’ ѕĪ¹Ī·

 

тĪ±Ī·0Ā° = 0

 

тĪ±Ī·30Ā° = 1/āˆš3

 

тĪ±Ī·45Ā° = 1

 

тĪ±Ī·60Ā° = āˆš3

 

тĪ±Ī·90Ā° = āˆž

 

Ā¢ĻƒŃ‚ Ī¹Ń• ĻƒĻĻĻƒŃ•Ī¹Ń‚Ń” ĻƒĘ’ тĪ±Ī·

 

ѕєĀ¢0Ā° = 1

 

ѕєĀ¢30Ā° = 2/āˆš3

 

ѕєĀ¢45Ā° = āˆš2

 

ѕєĀ¢60Ā° = 2

 

ѕєĀ¢90Ā° = āˆž

 

Ā¢ĻƒŃ•Ń”Ā¢ Ī¹Ń• ĻƒĻĻĻƒŃ•Ī¹Ń‚Ń” ĻƒĘ’ ѕєĀ¢

 

2ѕĪ¹Ī·Ī±Ā¢ĻƒŃ•Š²=ѕĪ¹Ī·(Ī±+Š²)+ѕĪ¹Ī·(Ī±-Š²)

 

2Ā¢ĻƒŃ•Ī±Ń•Ī¹Ī·Š²=ѕĪ¹Ī·(Ī±+Š²)- ѕĪ¹Ī·(Ī±-Š²)

 

2Ā¢ĻƒŃ•Ī±Ā¢ĻƒŃ•Š²=Ā¢ĻƒŃ•(Ī±+Š²)+Ā¢ĻƒŃ•(Ī±-Š²)

 

2ѕĪ¹Ī·Ī±Ń•Ī¹Ī·Š²=Ā¢ĻƒŃ•(Ī±-Š²)- Ā¢ĻƒŃ•(Ī±+Š²)

 

ѕĪ¹Ī·(Ī±+Š²)=ѕĪ¹Ī·Ī± Ā¢ĻƒŃ•Š²+ Ā¢ĻƒŃ•Ī± ѕĪ¹Ī·Š².

 

Ā» Ā¢ĻƒŃ•(Ī±+Š²)=Ā¢ĻƒŃ•Ī± Ā¢ĻƒŃ•Š² – ѕĪ¹Ī·Ī± ѕĪ¹Ī·Š².

 

Ā» ѕĪ¹Ī·(Ī±-Š²)=ѕĪ¹Ī·Ī±Ā¢ĻƒŃ•Š²-Ā¢ĻƒŃ•Ī±Ń•Ī¹Ī·Š².

 

Ā» Ā¢ĻƒŃ•(Ī±-Š²)=Ā¢ĻƒŃ•Ī±Ā¢ĻƒŃ•Š²+ѕĪ¹Ī·Ī±Ń•Ī¹Ī·Š².

 

Ā» тĪ±Ī·(Ī±+Š²)= (тĪ±Ī·Ī± + тĪ±Ī·Š²)/ (1āˆ’Ń‚Ī±Ī·Ī±Ń‚Ī±Ī·Š²)

 

Ā» тĪ±Ī·(Ī±āˆ’Š²)= (тĪ±Ī·Ī± āˆ’ тĪ±Ī·Š²) / (1+ тĪ±Ī·Ī±Ń‚Ī±Ī·Š²)

 

Ā» Ā¢ĻƒŃ‚(Ī±+Š²)= (Ā¢ĻƒŃ‚Ī±Ā¢ĻƒŃ‚Š² āˆ’1)/(Ā¢ĻƒŃ‚Ī± + Ā¢ĻƒŃ‚Š²)

 

Ā» Ā¢ĻƒŃ‚(Ī±āˆ’Š²)= (Ā¢ĻƒŃ‚Ī±Ā¢ĻƒŃ‚Š² + 1)/(Ā¢ĻƒŃ‚Š²āˆ’ Ā¢ĻƒŃ‚Ī±)

 

Ā» ѕĪ¹Ī·(Ī±+Š²)=ѕĪ¹Ī·Ī± Ā¢ĻƒŃ•Š²+ Ā¢ĻƒŃ•Ī± ѕĪ¹Ī·Š².

 

Ā» Ā¢ĻƒŃ•(Ī±+Š²)=Ā¢ĻƒŃ•Ī± Ā¢ĻƒŃ•Š² +ѕĪ¹Ī·Ī± ѕĪ¹Ī·Š².

 

Ā» ѕĪ¹Ī·(Ī±-Š²)=ѕĪ¹Ī·Ī±Ā¢ĻƒŃ•Š²-Ā¢ĻƒŃ•Ī±Ń•Ī¹Ī·Š².

 

Ā» Ā¢ĻƒŃ•(Ī±-Š²)=Ā¢ĻƒŃ•Ī±Ā¢ĻƒŃ•Š²+ѕĪ¹Ī·Ī±Ń•Ī¹Ī·Š².

 

Ā» тĪ±Ī·(Ī±+Š²)= (тĪ±Ī·Ī± + тĪ±Ī·Š²)/ (1āˆ’Ń‚Ī±Ī·Ī±Ń‚Ī±Ī·Š²)

 

Ā» тĪ±Ī·(Ī±āˆ’Š²)= (тĪ±Ī·Ī± āˆ’ тĪ±Ī·Š²) / (1+ тĪ±Ī·Ī±Ń‚Ī±Ī·Š²)

 

Ā» Ā¢ĻƒŃ‚(Ī±+Š²)= (Ā¢ĻƒŃ‚Ī±Ā¢ĻƒŃ‚Š² āˆ’1)/(Ā¢ĻƒŃ‚Ī± + Ā¢ĻƒŃ‚Š²)

 

Ā» Ā¢ĻƒŃ‚(Ī±āˆ’Š²)= (Ā¢ĻƒŃ‚Ī±Ā¢ĻƒŃ‚Š² + 1)/(Ā¢ĻƒŃ‚Š²āˆ’ Ā¢ĻƒŃ‚Ī±)

 

Ī±/ѕĪ¹Ī·Ī± = Š²/ѕĪ¹Ī·Š² = Ā¢/ѕĪ¹Ī·Ā¢ = 2я

 

Ā» Ī± = Š² Ā¢ĻƒŃ•Ā¢ + Ā¢ Ā¢ĻƒŃ•Š²

 

Ā» Š² = Ī± Ā¢ĻƒŃ•Ā¢ + Ā¢ Ā¢ĻƒŃ•Ī±

 

Ā» Ā¢ = Ī± Ā¢ĻƒŃ•Š² + Š² Ā¢ĻƒŃ•Ī±

 

Ā» Ā¢ĻƒŃ•Ī± = (Š²Ā² + Ā¢Ā²āˆ’ Ī±Ā²)/2Š²Ā¢

 

Ā» Ā¢ĻƒŃ•Š² = (Ā¢Ā² + Ī±Ā²āˆ’ Š²Ā²)/2Ā¢Ī±

 

Ā» Ā¢ĻƒŃ•Ā¢ = (Ī±Ā² + Š²Ā²āˆ’ Ā¢Ā²)/2Ā¢Ī±

 

Ā» Ī” = Ī±Š²Ā¢/4я

 

Ā» ѕĪ¹Ī·Ī˜ = 0 тŠ½Ń”Ī·,Īø = Ī·Ļ€

 

Ā» ѕĪ¹Ī·Ī˜ = 1 тŠ½Ń”Ī·,Īø = (4Ī· + 1)Ļ€/2

 

Ā» ѕĪ¹Ī·Ī˜ =āˆ’1 тŠ½Ń”Ī·,Īø = (4Ī·āˆ’ 1)Ļ€/2

 

Ā» ѕĪ¹Ī·Ī˜ = ѕĪ¹Ī·Ī± тŠ½Ń”Ī·,Ī˜ = Ī·Ī  (āˆ’1)^Ī·Ī±

 

1. ѕĪ¹Ī·2Ī± = 2ѕĪ¹Ī·Ī±Ā¢ĻƒŃ•Ī±

 

2. Ā¢ĻƒŃ•2Ī± = Ā¢ĻƒŃ•Ā²Ī± āˆ’ ѕĪ¹Ī·Ā²Ī±

 

3. Ā¢ĻƒŃ•2Ī± = 2Ā¢ĻƒŃ•Ā²Ī± āˆ’ 1

 

4. Ā¢ĻƒŃ•2Ī± = 1 āˆ’ ѕĪ¹Ī·Ā²Ī±

 

5. 2ѕĪ¹Ī·Ā²Ī± = 1 āˆ’ Ā¢ĻƒŃ•2Ī±

 

6. 1 + ѕĪ¹Ī·2Ī± = (ѕĪ¹Ī·Ī± + Ā¢ĻƒŃ•Ī±)Ā²

 

7. 1 āˆ’ ѕĪ¹Ī·2Ī± = (ѕĪ¹Ī·Ī± āˆ’ Ā¢ĻƒŃ•Ī±)Ā²

 

8. тĪ±Ī·2Ī± = 2тĪ±Ī·Ī±/(1 āˆ’ тĪ±Ī·Ā²Ī±)

 

9. ѕĪ¹Ī·2Ī± = 2тĪ±Ī·Ī±/(1 + тĪ±Ī·Ā²Ī±)

 

10. Ā¢ĻƒŃ•2Ī± = (1 āˆ’ тĪ±Ī·Ā²Ī±)/(1 + тĪ±Ī·Ā²Ī±)

 

11. 4ѕĪ¹Ī·Ā³Ī± = 3ѕĪ¹Ī·Ī± āˆ’ ѕĪ¹Ī·3Ī±

 

12. 4Ā¢ĻƒŃ•Ā³Ī± = 3Ā¢ĻƒŃ•Ī± + Ā¢ĻƒŃ•3Ī±

 

Ā» ѕĪ¹Ī·Ā²Īø+Ā¢ĻƒŃ•Ā²Īø=1

 

Ā» ѕєĀ¢Ā²Īø-тĪ±Ī·Ā²Īø=1

 

Ā» Ā¢ĻƒŃ•Ń”Ā¢Ā²Īø-Ā¢ĻƒŃ‚Ā²Īø=1

 

Ā» ѕĪ¹Ī·Ī˜=1/Ā¢ĻƒŃ•Ń”Ā¢Īø

 

Ā» Ā¢ĻƒŃ•Ń”Ā¢Ī˜=1/ѕĪ¹Ī·Īø

 

Ā» Ā¢ĻƒŃ•Ī˜=1/ѕєĀ¢Īø

 

Ā» ѕєĀ¢Ī˜=1/Ā¢ĻƒŃ•Īø

 

Ā» тĪ±Ī·Ī˜=1/Ā¢ĻƒŃ‚Īø

 

Ā» Ā¢ĻƒŃ‚Ī˜=1/тĪ±Ī·Īø

 

Ā» тĪ±Ī·Ī˜=ѕĪ¹Ī·Ī˜/Ā¢ĻƒŃ•Ī˜

 

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