proving: $\arccos x = \dfrac{\pi}{2} - \arcsin x$

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Jose Jesus Josh...
Jose Jesus Joshua Barrios's picture
proving: $\arccos x = \dfrac{\pi}{2} - \arcsin x$

arc cos x = π/2 - arc sin x

Jhun Vert
Jhun Vert's picture

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

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