Formulas you need to solve all basic mathematics
Formulas you need to solve all basic mathematics problem
Difference of 2 square
a²-b²=(a+b)(a-b)
a²-b²=(a+b)(a-b)
Surd rule
√a×√b=a
√a×√b=√ab
√a+√b≠√a+b
√a √a
— = —
b √b
√a×√b=a
√a×√b=√ab
√a+√b≠√a+b
√a √a
— = —
b √b
Conjugate of surd
(√a+√b)²=a+b+2√ab
(√a-√b)²=a+b-2√ab
(√a+√b)²=a+b+2√ab
(√a-√b)²=a+b-2√ab
Sine rule
For angles A,B,C of a triangle whose respective Distance is given as a,b and c then the rule States
For angles A,B,C of a triangle whose respective Distance is given as a,b and c then the rule States
a b c
—— = —— = ——
sinA sinB sinC
—— = —— = ——
sinA sinB sinC
Cosine Rule
a²=b²+c²-2bc cosA
b²=a²+c²-2ac cosB
c²=a²+b²-2ab cosC
a²=b²+c²-2bc cosA
b²=a²+c²-2ac cosB
c²=a²+b²-2ab cosC
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