Question

Find the principal value of the following angles:

(i) sin^-1(1)

(ii) cos^-1(-1/2)

(iii) sec^-1(-√2)

(iv) cosec^-1(-1)

(v) cot^-1(-√(1/3))

(vi) tan^-1(1/√3)

Answer 1

(i) sin^-1(1)

(ii) cos^-1(-1/2)

(iii) sec^-1(-√2)

(iv) cosec^-1(-1)

Principal value of cosec^-1(-1) will be in range

Hence, principale value of cosec^-1(-1) is - π/2

(v) cot^-1(-√(1/3))

(vi) tan^-1(1/√3)