Question

If
$\tan(y) = (\sqrt{1 + \sin(x) } - \sqrt{1 - \sin(x) } ) \div \sqrt{1 + \sin(x) } + \sqrt{1 - \sin(x) } )$
find dy/dx​

Answer 1

he length of a diagonal across a square with sides of one unit of length; this follows the Pythagorean theorem. It was probably the first number known to be irrational.[citation needed]

As a good rational approximation for the square root of two, with a reasonably small denominator, the fraction 99/70 (≈ 1.4142857) is sometimes used.

The sequence A002193 in the OEIS consists of the digits in the decimal expansion of the square root of 2, here truncated to 65 decimal places: