Cheatography
https://cheatography.com
Introduction to basic equations. Understanding the basics before diving into more difficult and brain-scratching topic. Here are the fundamental notes required for understanding hard concepts in physics and mathematics.
This is a draft cheat sheet. It is a work in progress and is not finished yet.
Quadratic Equation
The order of the equation depends on the highest power of the variable. |
eg. This is a second order algebraic equation: ax²+bx+c=0
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The constants with the variables are called coefficients. |
here, a and b are coefficients of x² and x |
The solution can be given by the quadratic formula: |
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Binomial Theorem
For any positive integral index n: |
(x+a)n=nC0xn+nC1xn-1a+...+nCnan |
where a is a constant and |
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the expansion of n! is |
n!=nx(n-1)x(n-2)...3x2x1 |
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Trigonometric Ratios
Angle x |
0o=0 |
30o= π/6 |
45o= π/4 |
60o= π/3 |
90o= π/2 |
sin x |
0 |
1/2 |
1/√2 |
√3/2 |
1 |
cos x |
1 |
√3/2 |
1/√2 |
1/2 |
0 |
tan x |
0 |
1/√3 |
1 |
√3 |
∞ |
1 radian= |
180/ π |
1o= |
60' minutes of arc |
1'= |
60'' seconds of arc |
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