Question

Find the principal value of:
i) `sin^(-1)(-1/sqrt(2))`,
ii) `cos^(-1)(-sqrt(3)/2)`
iii) `tan^(-1)(-sqrt(3))`
iv) `sec^(-1)(-2)`
v) `"cosec"^(-1)(-sqrt(2))`,
vii) `cot^(-1)(-1/sqrt(3))`.

Answer 1

Correct Answer - i) `-pi/4`, ii) `(5pi)/6`, iii) `-pi/3`, iv) `(2pi)/3`, v) `-pi/4`, vi) `(2pi)/3`