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°
