Maths Formulas for Class 10

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Maths Formulas for Class 10
Maths Formulas for Class 10

Maths Formulas for Class 10– इस आर्टिकल में आज हम आपसे Maths Formulas for Class 10 के बारे में विस्तार से चर्चा करेंगे।इससे पहले आर्टिकल में आप संख्याओं के प्रकार के बारे में विस्तार से पढ़ चुके हैं।

Maths Formulas for Class 10-

जैसा कि आप सभी जानते ही हैं गणित के सवाल बिना सूत्रों के हल करना संभव नहीं है। किसी तथ्य को ध्यान में रखते हुए हमने आपकी सुविधा के लिए गणित के महत्वपूर्ण सूत्र एकत्रित किए हैं।

गणित के महत्वपूर्ण सूत्र निम्नलिखित हैं-

Algebra’s formulas-

No. 1. (a+b)2 = a2 + b2 + 2ab

No. 2. (a-b)2 = a2 + b2 – 2ab

No. 3. (a+b) (a-b) = a2 – b2

No. 4. (x + a)(x + b) = x2 + (a + b)x + ab

No. 5. (x + a)(x – b) = x2 + (a – b)x – ab

No. 6. (a + b)3 = a3 + b3 + 3ab(a + b)

No. 7. (a – b)3 = a3 – b3 – 3ab(a – b)

No. 8. (x – a)(x + b) = x2 + (b – a)x – ab

No. 9. (x – a)(x – b) = x2 – (a + b)x + ab

No. 10. (x + y + z)2 = x2 + y2 + z2 + 2xy + 2yz + 2xz

No. 11. (x + y – z)2 = x2 + y2 + z2 + 2xy – 2yz – 2xz

No. 12. (x – y + z)2 = x2 + y2 + z2 – 2xy – 2yz + 2xz

No. 13. (x – y – z)2 = x2 + y2 + z2 – 2xy + 2yz – 2xz

No. 14. x3 + y3 + z3 – 3xyz = (x + y + z)(x2 + y2 + z2 – xy – yz -xz)

No. 15. x2 + y2 =½ [(x + y)2 + (x – y)2]

No. 16. (x + a) (x + b) (x + c) = x3 + (a + b +c)x2 + (ab + bc + ca)x + abc

No. 17. x3 + y3= (x + y) (x2 – xy + y2)

No. 18. x3 – y3 = (x – y) (x2 + xy + y2)

No. 19. x2 + y2 + z2 -xy – yz – zx = ½ [(x-y)2 + (y-z)2 + (z-x)2]

कक्षा 10 के लिए गणित के महत्वपूर्ण सूत्र:-

Trigonometry

We know that all of you want to have a firm grip over Trigonometry formulas .
This  will help you achieve your dream score in exams.So we have decided to
cover up a highly interesting chapter covering a wide range of formulas and
topics which is also an important element of the class 10th board exams

θ             0°            30°          45°          60°          90°          180°

Sin          0              1/2         1/2         3/2         1              0

Cos         1              3/2         1/2         1/2         0              -1

Tan         0              1/3         1              3              ∞            0

Cot         ∞            3              1              1/3         0              ∞

Sec         1              2/3         2              2              ∞            -1

Cosec    ∞            2              2              2/3         1              ∞

Maths Formulas for Class 10-

No. 1. Sinθ= 1/ Cosecθ or Sin θ.Cosecθ= 1

No. 2. Cosθ= 1/Secθ or Cos θ.Secθ= 1

No. 3. Tanθ= 1/Cotθ or Tanθ.Cotθ= 1

No. 4. Sin (A+B)= SinA.CosB + CosA.SinB

No. 5. Sin (A-B)= SinA.CosB – CosA.SinB

No. 6. Cos (A+B)= CosA.CosB- SinA.SinB

No. 7. Cos (A-B)= CosA.CosB+SinA.SinB

No. 8. Tan (A+B)= (TanA + TanB)/ (1-TanA TanB)

No. 9. Tan (A-B)= (TanA- TanB)/ (1+TanA TanB)

No. 10. sin θ = Side opposite to angle θ/ Hypotenuse = Perpendicular/Hypotenuse= P/H

No. 11. cos θ = Adjacent side to angle θ/ Hypotenuse= Adjacentside/ Hypotenuse= B/H

No. 12. tan θ = Side opposite to angle θ/ Adjacent side to angle θ

No. 13. sec θ = 1/ cosθ

No. 14. cot θ = 1/ tanθ

No. 15. cosec θ = 1/ sinθ

No. 16. No. 1. tan θ = Sinθ/ Cosθ

No. 17. sin (90° – θ) = cos θ

No. 18. cos (90° – θ) = sin θ

No. 19. tan (90° – θ) = cot θ

No. 20. cot (90° – θ) = tan θ

No. 21. sec (90° – θ) = cosecθ

No. 22. cosec (90° – θ) = secθ

No. 23. sin2θ + cos2 θ = 1

No. 24. sec2 θ = 1 + tan2θ for 0° ≤ θ < 90°

No. 25. Cosec2 θ = 1 + cot2 θ for 0° ≤ θ ≤ 90°