Home › CBSE Class 12 (Commerce) › Mathematics › Inverse Trigonometric Functions › Determine sec⁻¹(2/√3) using the principal value …
Determine sec⁻¹(2/√3) using the principal value branch.
Aπ/3
Bπ/4
Cπ/2
Dπ/6
Answer & Solution
Correct answer: D. π/6
sec(π/6) = 1/cos(π/6) = 2/√3, and π/6 lies in [0, π] excluding π/2.
Related questions
Principal cot⁻¹ evaluated at 0 equalsCotangent restricted to which interval is bijective onto R?Inverse trigonometric functions are important in calculus because theyFor an invertible f, what does (f⁻¹ o f)(x) equal?The inverse of f exists only if f isThales is credited with finding the height of a pyramid using what?Which country is credited with starting the study of trigonometry?Who suggested the symbols sin⁻¹x and cos⁻¹x for arc sin x and arc cos x?