Home › JEE Main › Mathematics › Inverse Trigonometric Functions › arctan(x) is an _____ function (odd/even):
arctan(x) is an _____ function (odd/even):
AEven
BODD (arctan(-x) = -arctan(x))
CNeither
DBoth
Answer & Solution
Correct answer: B. ODD (arctan(-x) = -arctan(x))
arctan(-x) = -arctan(x). Odd function. (Graph symmetric about origin.) Same for arcsin. arccos is neither (arccos(-x) = π - arccos(x)).
Related questions
The value of $ in(\tan^{-1}(3/4))$ is:The value of $\cos^{-1}(-1)$ is:For $x \in [-1, 1]$, the identity $ in^{-1}x + \cos^{-1}x$ equals:The principal value of $ in^{-1}(1/2)$ is:Maximum value of x² + (arcsin(x))² for x in [-1, 1]:Range of f(x) = arcsin(x) - arccos(x):Integral ∫ 1/(1 + x²) dx =Integral ∫ 1/sqrt(1 - x²) dx =