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

Explanation

To find the value of \( \sec^{-1}(-2) + \tan^{-1}\left(-\frac{1}{\sqrt{3}}\right) \), we can follow these steps:

### Step 1: Calculate \( \sec^{-1}(-2) \)

The inverse secant function, \( \sec^{-1}(x) \), is defined for \( |x| \geq 1 \). For \( x = -2 \), we can use the property:

\[
\sec^{-1}(-x) = \pi - \sec^{-1}(x)
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