What is $arcsin 0$ ?

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Answer 1 · 2015-07-02T06:38:10

$arcsin 0 = 0$

$arcsinx$ is a $theta$ with $theta$ between $-pi/2$ and $pi/2$ (between $-90^@$ and $90^@$ ) with $sin theta =x$

So, $arc sin 0$ is an number (an angle) in the correct range, with $sin theta =0$

The angles with sine = 0 are co-terminal with $0$ or with $pi$ (in degrees, with $180^@$ )

The only such angle between $-pi/2$ and $pi/2$ is the angle $theta = 0$ .

So $arcsin 0 =0$ (Either the number $0$ or the angle measuring $0$ radians or $0^@$ depending on the units of the application.)

What is arcsin 0arcsin 0?