Find the value of `sin^(-1)(sqrt3/2)+cos^(-1)(-1)+tan^(-1)(-1)`

Explanation

To find the value of the expression \( \sin^{-1}\left(\frac{\sqrt{3}}{2}\right) + \cos^{-1}(-1) + \tan^{-1}(-1) \), we will evaluate each term step by step.

### Step 1: Evaluate \( \sin^{-1}\left(\frac{\sqrt{3}}{2}\right) \)

The value of \( \sin^{-1}(x) \) gives us the angle whose sine is \( x \). We know that:

\[
\sin\left(\frac{\pi}{3}\right) = \frac{\sqrt{3}}{2}
...