General Maths

Git¶

Problem	Solution
Sum of first n natural numbers	$$ n(n+1) \over 2 $$
Sum of first n whole numbers	$$ n(n-1) \over 2 $$
\[ (a+b)^n \]	\[ C_0^n a^n + C_1^n a^{n-1} b + C_2^n a^{n-2} b^2 + ... + C_n^n b^n \]
\[ \]

Problem	Solution
\[ \sin 2A \]	$$ 2 \sin A \cos A $$ $$ {2 \tan A} \over {1 + \tan ^2 A} $$
\[ \cos 2A \]	\[ \cos ^2 A - \sin ^2 A \] \[ {1 - \tan ^2 A} \over {1 + \tan ^2 A} \]