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

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Answer 1 · 2016-08-15T16:26:06

sin 2x

${sin}^{- 1} x \to arcsin x \to x$ $sin^-1 x -> arcsin x -> x$
${cos}^{- 1} x \to arccos x \to x$ $cos^-1x -> arccos x -> x$

sin (arcsin x + arccos x) = sin (x + x) = sin 2x

How do you simplify sin(sin^(-1)x + cos^(-1)x)sin(sin−1x+cos−1x)sin(sin^(-1)x + cos^(-1)x)?