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Question Number 82638 by jagoll last updated on 23/Feb/20

given x= cos^3 x  what is x ?

$${given}\:{x}=\:\mathrm{cos}\:^{\mathrm{3}} {x} \\ $$$${what}\:{is}\:{x}\:? \\ $$

Commented by mr W last updated on 23/Feb/20

if you want to calculate it by hand by  yourself, then you can use newton  raphson method.

$${if}\:{you}\:{want}\:{to}\:{calculate}\:{it}\:{by}\:{hand}\:{by} \\ $$$${yourself},\:{then}\:{you}\:{can}\:{use}\:{newton} \\ $$$${raphson}\:{method}.\: \\ $$

Commented by mr W last updated on 23/Feb/20

only approximation possible. clearly  there is only one solution.  x≈0.5824400712

$${only}\:{approximation}\:{possible}.\:{clearly} \\ $$$${there}\:{is}\:{only}\:{one}\:{solution}. \\ $$$${x}\approx\mathrm{0}.\mathrm{5824400712} \\ $$

Commented by jagoll last updated on 23/Feb/20

how to approximate this question  sir? newton raphson method?

$${how}\:{to}\:{approximate}\:{this}\:{question} \\ $$$${sir}?\:{newton}\:{raphson}\:{method}? \\ $$

Commented by jagoll last updated on 23/Feb/20

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