Question
Write the interval for the principal value of function and draw its graph: $\cos ^{-1} x$.
✓
Answer
Principal value branch of $\cos ^{-1} x$ is $[0, \pi]$ and its graph is shown here,
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
For any two vectors $\vec{\text{a}}$ and $\vec{\text{b}},$ find $\vec{\text{a}}.\big(\vec{\text{b}}\times\vec{\text{a}}\big).$
→Find the Cartesian equation of the following plane:
$\vec{\text{r}}.\Big(\hat{\text{i}}+\hat{\text{j}}-\hat{\text{k}}\Big)=2$
→$\vec{\text{r}}.\Big(\hat{\text{i}}+\hat{\text{j}}-\hat{\text{k}}\Big)=2$
If A = {1, 2, 3, 4} define relations on A which have properties of being:
Symmetric but neither reflexive nor transitive.
Symmetric but neither reflexive nor transitive.
Evalute the following integrals:
$\int\frac{1-\sin2\text{x}}{\text{x}+\cos^2\text{x}}\text{dx}$
→$\int\frac{1-\sin2\text{x}}{\text{x}+\cos^2\text{x}}\text{dx}$
Evaluate the following integrals:$\int\frac{\text{e}^\text{x}}{\sqrt{16-\text{e}^{2\text{x}}}}\text{ dx}$
→Write an example of a function which is everywhere continuous but fails to differentiable exactly at five points.
Give an example of a relation which is,
Transitive but neither reflexive nor symmetric.
Transitive but neither reflexive nor symmetric.
Write the distances of the point (7, -2, 3) from XY, YZ and XZ-planes.
Find the value of $\cos ^{-1} \frac{1}{2}+2 \sin ^{-1} \frac{1}{2}$.
→$\text{Find}\ \lambda\ \text{and}\ \mu\ \text{if}\ (2\hat{i}+6\hat{j}+27\hat{k})\times(\hat{i}+\lambda\hat{j}+\mu\hat{k})=\vec{0}.$
→