Identity

\[\begin{aligned} \frac{1}{1-\frac{1}{1-\frac{1}{1-\sec^2x}}} &=\frac{1}{1-\frac{1}{1-\frac{1}{-\tan^2x}}}\\ &=\frac{1}{1-\frac{1}{1+\cot^2x}}\\ &=\frac{1}{1-\frac{1}{\cosec^2x}}\\ &=\frac{1}{1-\sin^2x}\\ &=\frac{1}{\cos^2x}\\ \frac{1}{1-\frac{1}{1-\frac{1}{1-\sec^2x}}}&=\sec^2x \end{aligned}\]

#Algebra

Easy Math Editor

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Math	Appears as
Remember to wrap math in `\(` ... `\)` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$