oblique

Examples of oblique in the following topics:

• Asymptotes

  • There are three kinds of asymptotes: horizontal, vertical and oblique.
  • An asymptote that is neither horizontal or vertical is an oblique (or slant) asymptote.
  • A rational function has at most one horizontal or oblique asymptote, and possibly many vertical asymptotes.
  • The graph of a function with a horizontal ($y=0$), vertical ($x=0$), and oblique asymptote (blue line).
  • Explain when the asymptote of a rational function will be horizontal, oblique, or vertical

• The Law of Sines

  • A right triangle contains a $90^{\circ}$ angle, while any other triangle is an oblique triangle.
  • Solving an oblique triangle means finding the measurements of all three angles and all three sides.
  • To solve an oblique triangle, use any pair of applicable ratios from the law of sines formula.
  • The sides of this oblique triangle are labeled a, b, and c, and the angles are labeled $\alpha$, $\beta$, and $\gamma$.

• The Law of Cosines

  • The Law of Cosines defines the relationship among angle measurements and side lengths in oblique triangles.
  • An oblique triangle, with angles $\alpha$, $\beta$, and $\gamma$, and opposite corresponding sides $a$, $b$, and $c$.
  • This oblique triangle has known side lengths $a=10$ and $c=12$, and known angle $\beta = 30^{\circ}$.