Home › UP Board Class 12 › mathematics › Inverse Trigonometric Functions › The principal value of $\sin^{-1}(1/2)$ is:
The principal value of $\sin^{-1}(1/2)$ is:
A$\pi/3$, the angle whose sine is $\sqrt 3/2$ on chart
B$\pi/4$, the angle whose sine is $1/\sqrt 2$ on chart
C$\pi/6$, since $\sin(\pi/6) = 1/2$ in the principal range
D$\pi/2$, the angle whose sine is $1$ on the school chart
Answer & Solution
Correct answer: C. $\pi/6$, since $\sin(\pi/6) = 1/2$ in the principal range
$\sin(\pi/6) = 1/2$ and $\pi/6 \in [-\pi/2, \pi/2]$.
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:Maximum value of x² + (arcsin(x))² for x in [-1, 1]:arctan(x) is an _____ function (odd/even):Range of f(x) = arcsin(x) - arccos(x):Integral ∫ 1/(1 + x²) dx =Integral ∫ 1/sqrt(1 - x²) dx =