Find $sin^(-1)sqrt(3/2)$ ?

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Answer 1 · 2017-02-14T06:48:46

$sin^(-1)sqrt(3/2)$ does not exist.

For any $x$ , we have $-1 <= sinx <= 1$ or $|sinx|<=1$

but here assuming $sin^(-1)sqrt(3/2)=theta$

we will have $sintheta=sqrt(3/2)=1.2247$

but this is just not possible.

Hence $sin^(-1)sqrt(3/2)$ does not exist.

Find sin^(-1)sqrt(3/2)sin^(-1)sqrt(3/2)?