How do you simplify $tan ({cos}^{- 1} x)$ $tan(cos^(-1)x)$ ?

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How do you simplify $tan ({cos}^{- 1} x)$ $tan(cos^(-1)x)$ ?

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Answer 1 · 2016-04-27T12:16:38

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Explanation:

Let $a = {cos}^{- 1} x$ $a=cos^(-1)x$ . Then $x = cos a and tan a = \frac{sin a}{cos a} = \pm (\frac{\sqrt{1 - x^{2}}}{x})$ $x= cos a and tan a=sina/cos a=+-(sqrt(1-x^2)/x)$
Answer: $\pm (\frac{\sqrt{1 - x^{2}}}{x})$ $+-(sqrt(1-x^2)/x)$

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How do you simplify $tan ({cos}^{- 1} x)$ $tan(cos^(-1)x)$ ?

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How do you simplify $tan ({cos}^{- 1} x)$ $tan(cos^(-1)x)$ ?