proving: $\arccos x = \dfrac{\pi}{2} - \arcsin x$
arc cos x = π/2 - arc sin x
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Re: proving
Let
y = arccos x
cos y = x
Let
z = arcsin x
sin z = x
Hence,
cos y = sin z
cos y = cos (pi/2 - z)
y = pi/2 - z
arccos x = pi/2 - arcsin x <-- proven