শিক্ষা

Harmonic progression

Hyperbolic Trigometry Hyperbolic sine: Hyperbolic cosine: Hyperbolic tangent: Hyperbolic cotangent: Hyperbolic secant: Hyperbolic cosecant:

Trigonometry Chapter 1  sin(A+B)=sinAcosB+cosAsinB  sin(A-B)=sinAcosB-cosAsinB   cos(A+B)=cosAcosB-sinAsinB cos(A-B)=cosAcosB+sinAsinB   tan(A+B)=   ( tanA+tanB)/  (1-tanAtanB)          tan(A+B)=  ( tanA-tanB)/   (  1+tanAtanB)

Algebra 2 3 =8; 3 3 =9; 4 3 =64; 5 3 =125; 6 3 =216; 7 3 =343; 8 3 =512; 9 3 =729; 10 3 =1000 (a+b) 2 =a 2 +2ab+b 2 (a-b) 2 =a 2 -2ab+b 2  (a+b) 2 =(a-b) 2 +4ab  (a-b) 2 =(a+b) 2 -4ab   a 2 +b 2 =(a-b) 2 +2ab a 2 +b 2 =(a+b) 2 -2ab  a 2 -b 2 =(a+b)(a-b)  2(a 2 +b 2 )=(a+b) 2 +(a-b) 2 ab=((a+b)/2) 2 -((a-b)/2) 2 (a+b) 3 =a 3 +3a 2 b+3ab 2 +b 3 (a-b) 3 =a 3 -3ab 2 +3ab 2 -b 3 (a+b) 3 =a 3 +b 3 +3ab(a+b) (a-b) 3 =a 3 -b 3 -3ab(a-b) a 3 +b 3 =(a+b) 3 -3ab(a+b) a 3 +b 3 =(a+b)(a 2 -ab+b 2 ) a 3 -b 3 =(a-b) 3 +3ab(a-b) a 3 -b 3 =(a-b)(a 2 +ab+b 2 ) (a+b+c) 2 =a 2 +b 2 +c 2 +2(ab+bc+ca) a 2 +b 2 +c 2 =(a+b+c) 2 -2(ab+bc+ca) ab+bc+ca=((a+b+c) 2 -(a 2 +b 2 +c 2 ))/2 4ab=(a+b) 2 -(a-b) 2