For the principal values, evaluate each of the following: tan{2sin(4cos^-1 √3/2 )}

Question

For the principal values, evaluate each of the following:

\(tan^{-1}\{2sin(4cos^{-1}\frac{\sqrt3}2)\}\)

Answer 1

Let cos^-1\(\frac{\sqrt3}2\) = x

cos x = cos (\(\frac{\pi}6\))

x  = \((\frac{\pi}6)\)

So now,