Home › CBSE Class 12 (Commerce) › Mathematics › Inverse Trigonometric Functions › What does cos⁻¹(cos(-π/3)) reduce to?
What does cos⁻¹(cos(-π/3)) reduce to?
A-π/3
Bπ/3
C2π/3
D-2π/3
Answer & Solution
Correct answer: B. π/3
cos(-π/3) = 1/2, and cos⁻¹(1/2) = π/3 since the range of cos⁻¹ is [0, π].
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?