DLMF:4.24.E13 (Q1807)

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DLMF:4.24.E13
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    Arcsin u ± Arcsin v = Arcsin ( u ( 1 - v 2 ) 1 / 2 ± v ( 1 - u 2 ) 1 / 2 ) , plus-or-minus multivalued-inverse-sine 𝑢 multivalued-inverse-sine 𝑣 multivalued-inverse-sine plus-or-minus 𝑢 superscript 1 superscript 𝑣 2 1 2 𝑣 superscript 1 superscript 𝑢 2 1 2 {\displaystyle{\displaystyle\operatorname{Arcsin}u\pm\operatorname{Arcsin}v=% \operatorname{Arcsin}\left(u(1-v^{2})^{1/2}\pm v(1-u^{2})^{1/2}\right),}}
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