結果 : integral of cos inverse 1 x 2 1 x 2
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prove that `cos^-1 x = 2 sin^-1 sqrt((1-x)/2) = 2 cos^-1 sqrt((1+x)/2) `

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逆三角関数の導関数 sin-1(2x)、cos-1 (x^2)、tan-1 (x/2) sec-1 (1+x^2)

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`sin^(-1)((2x)/(1+x^(2)))` を `cos^(-1)((1-x^(2))/(1+x^(2)))` で微分します。

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`cos^(-1)((1-x^(2))/(1+x^(2)))` を `tan^(-1)((3x-x^(3))/(1-3x^(2))).` について微分します。

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prove that 2cos^-1(x)=cos^-1(2x^2-1)

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To prove that `tan(1/2sin^-1((2x)/(1+x^2))+1/2cos^-1((1-x^2)/(1+x^2))=(2x)/(1-x^2)`

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