(i) Find the principal value of (ii) Prove that cos^-1 (√3/2)

Question

(i) Find the principal value of (ii) Prove that cos^{-1(\(\frac{\sqrt3}{2}\))}

(ii) Prove that 2 sin^-1(\(\frac{3}{5}\)) = tan^-1 (\(\frac{24}{7}\))

Answer 1

(i) cos ^-1 \(\frac{\sqrt 3}{2}\) = \(\frac{π}{6}\)