# INDEX Beta

## INDEX

Mathematics start from Arithmetic. We need to find smarter methods to do our basic arithmetic.

ARITHMETIC
Addition, Subtraction, Multiplication, Division, Squaring a number,

Dealing with Fractions

ALGEBRA
we need to understand equations. and how formation of an equation lets us find unknowns. And equations are formed by using some mathematical truth which could be geometrical or algebraic or trigonometric

Simple Equations
Simple Equations and Fractions
Factorization
Simultaneous Equations & Cramer’s Rule
Quadratic Equations: nothing but two simple expressions multiplied.
Cubic & Higher Degree equations

GEOMETRY, TRIGONOMETRY & COORDINATE GEOMETRY
Angle, Triangle, Isosceles, Equilateral, Right Angled Triangles, Isosceles Right Angled Triangles, Trigonometrical Ratios emanating from these triangles viz. Ratios for 45, 30, 60
Finding half angles i.e. 22.5, 15 & 7.5
Finding rest of the ratios if one ratio is known

trigonometric ratios for 90-x, 90+x, 180-x.
One can convert 90+x to 180-y and solve.
And 360-x & -x angles

TRIGONOMETRIC RATIOS FOR A+B, A-B, 2A
TRIGO RATIOS FOR Sin A +-Sin B, Cos A +- Cos B & Tan A +- Tan B

Coordinate Geometry & Right Angled Triangles
Distance Formula from Pythagoras’ Theorem
Parametric Form of a Point [rCosx, rSinx] again from Rt. Angled Triangle