 ### Determine the missing coordinates of the points on the graph of the function. y=arctan

$(x,y)=(-sqrt 3,a)$ $(x,y)=(b,-dfrac{pi}{6})$ $(x,y)=(c,dfrac{pi}{4})$ The question aims to determine the missing coordinates of the points on the graph of the function y= arctan x. A pair of numbers that shows the exact position of a point in a cartesian plane using horizontal and vertical lines called coordinates. It is usually represented by (x, y) the value of […]

### Find the volume of the solid generated by revolving the shaded region about the y-axis.

This article aims to find the volume of the solid formed by rotating the shaded region about the y-axis. The article uses the concept of volume of the solid. The volume of the solid generated by a region under $f(x)$ bounded by the y-axis and vertical lines $y=a$ and $y=b$, which is […]

### Show that the equation has exactly one real root.

$2x+cos x = 0$ This article aims to find the roots of the given function. The article uses the concept of the mean value theorem and Rolle’s theorem. The readers should know the definition of the mean value theorem and Rolle’s theorem. Expert Answer First, remember the mean value theorem, which states that given a function $f(x)$ continuous on $[a, b]$ then there exists $c$ […]

### Find the exact value of each of the remaining trigonometric functions of theta.

[costheta=frac{24}{25} , {270} ^circ<theta<{360} ^circ] – Part (a) – $sintheta=?$ – Part (b) – $tantheta=?$ – Part (c) – $sectheta=?$ – Part (d) – $csctheta=?$ – Part (e) – $cottheta=?$ The aim of the article is to find the value of trigonometric functions of the Right-Angled triangle. The basic concept behind this article is the Right-Angled […]

### Find the value of x and y.

The main objective of this question is to find the value of $x$ and  $y$ in the given triangle. This question uses the concept of a triangle. A triangle is defined by its $3$ sides,  $3$  angles, as well as three vertices. The total of a triangle’s […]