Question

Find the principal value of the following:

(i) sin^-1 (-\({\sqrt{\frac{3}{2}}}\))

(ii) sin^-1 (cos (2π/3))

(iii) sin^-1 ((√3 - 1)/2√2)

Answer 1

(i) Let sin^-1 (-√3/2) = y

(iii) sin^-1 ((√3 - 1)/2√2)

By substituting the values,

= (π/3) - (π/4)

Taking LCM and cross multiplying we get,

= π/12