If x-1-3-5- then the value of-x-1-x-

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Change of Variables

If x=1÷3-√5, ...

Question

If x=1÷3-\surd5, then the value of(\surd x+1÷\surd x)

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{cos}^{- 1} {\frac{\sqrt{1 - sin x} + \sqrt{1 + sin x}}{\sqrt (1 - sin x) - \sqrt (1 + sin x)}}

(0 < x < 2 π)

If $x + \frac{1}{x} = 7$ then find the value of $x^{3} + \frac{1}{x^{3}}$

x = \frac{\sqrt{3}}{2}

\frac{1 + x}{1 + \sqrt{1 + x}} + \frac{1 - x}{1 - \sqrt{1 - x}}

x - \frac{1}{x} = 3

x^{3} - \frac{1}{x^{3}}

x + \frac{1}{x} = 3

x^{3} + \frac{1}{x^{3}}

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