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Thursday, 11 May 2023

Graphs of compositions of inverse trig functions - $y=\sin^{-1}\cos x, y=\cos^{-1}\sin x,y=\sin\sin^{-1} x,y=\cos\cos^{-1} xy=\cos\sin^{-1} x$

 The graphs of these are either easy or based on previous graphs done (by translation left or right)

$y=\sin^{-1}\cos x$, 

















(For $y=\sin^{-1}\sin x$ see this post   https://ripplemath.blogspot.com/2023/05/sketching-function-ysin-1sin-x-for.html)


$y=\cos^{-1}\sin x$,


(For $y=\cos^{-1}\cos x$ see this post https://ripplemath.blogspot.com/2023/05/sketching-function-ycos-1cosx-for.html )

$y=\sin\sin^{-1} x$,
















$y=\cos\cos^{-1} x$

















$y=\cos\sin^{-1} x$






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