User:Graemeb1967/Sandbox

$\sin ^{2}\theta +\cos ^{2}\theta =1.\!$

$1+\tan ^{2}\theta =\sec ^{2}\theta \,$

and

$1+\cot ^{2}\theta =\csc ^{2}\theta \,$

${\begin{matrix}x_{1}&=&x_{0}-{\dfrac {f(x_{0})}{f'(x_{0})}}&=&10-{\dfrac {10^{2}-612}{2\cdot 10}}&=&35.6\quad \quad \quad {}\\x_{2}&=&x_{1}-{\dfrac {f(x_{1})}{f'(x_{1})}}&=&35.6-{\dfrac {35.6^{2}-612}{2\cdot 35.6}}&=&{\underline {2}}6.3955056\\x_{3}&=&\vdots &=&\vdots &=&{\underline {24.7}}906355\\x_{4}&=&\vdots &=&\vdots &=&{\underline {24.7386}}883\\x_{5}&=&\vdots &=&\vdots &=&{\underline {24.7386338}}\end{matrix}}$