which-one-do-you-prefer-sin-1-x-or-arcsin-x-

Question Number 157974 by yeti123 last updated on 30/Oct/21

which one do you prefer ?

\sin^{- 1} (x) or \arcsin (x)

Commented by puissant last updated on 30/Oct/21

{s i n}^{- 1} (x) = a r c s i n (x)

i {d o n}^{'} t u n d e r s t a n d y o u r p r o b l e m . .

Commented by MJS_new last updated on 30/Oct/21

I prefer \arcsin (x) because \sin^{2} (x) = {(\sin x)}^{2}

but \sin^{- 1} (x) \neq {(\sin (x))}^{- 1} which is confusing .

what is \sin^{- 2} (x) ?

Commented by tounghoungko last updated on 31/Oct/21

\sin^{- 2} (x) = {c s c}^{2} (x)

Commented by MJS_new last updated on 31/Oct/21

u^{- 2} = v^{2} \Rightarrow u^{- 1} = \pm v

\sin^{- 2} (x) = \csc^{2} (x)

\Rightarrow

\sin^{- 1} (x) = \pm \csc (x)

there you have it \dots

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