# Precalculus

Precalculus is a precise itinerary designed to challenge and
develop your understanding of mathematics. This course will prepare you
for College Calculus or Calculus AP. Precalculus is an elective course,
and ask-math commend all who want to
continue their study of mathematics. Students with a strong math
background and those who expect to spend substantial time learning, ready for
the hard work and practicing the
concepts presented should be enrolled in this particular course.

## Precalculus Table of contents

•

**Intercept of rational function :** An intercept of rational function is a point where the graph of the given function intersect or cut the X and Y axis.

•

**how to find horizontal asymptotes :** In the rational functions if the degree of numerator and denominators are same then the horizontal asymptote is y = (numerator's leading coefficient) / (denominator's leading coefficient)

•

**how to find vertical asymptotes :**Vertical asymptote can be found by making the denominator equal to zero.

•

**how to find slant asymptotes :** If the degree of numerator is greater than the degree of denominator by the margin of 1 then we have a slant asymptote.

•

**graph a rational function :** For graphing a rational function, the properties such as domain, vertical and horizontal asymptotes of a rational function are also investigated.

•

**inverse sine function : **The inverse sine function $sin^{-1}$ gives the ratio opposite/hypotenuse and gives the angle θ

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**inverse cos function:** The inverse cosine function $cos-1$ gives the ratio adjacent/hypotenuse and gives the angle θ

•

**inverse tan function : **The inverse tangent function $tan-1$ gives the ratio opposite/adjacent and gives the angle θ

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**inverse trigonometric function arccosecx :** The inverse arccosecant function cosec-1 gives the ratio hypotenuse/ opposite and gives the angle θ

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**inverse secant function :** The inverse secant function $sec-1 $(hypotense/adjacent) and gives the angle θ

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**law of sines :** The law of sines can be used to find the remaining sides of a triangle when two angles and a side are given.

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**law of cosines: **The law of cosines is useful for computing the third side of a triangle when two sides and angle between them is given and in finding the angles of a triangle if all three sides are given.

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**Circular function : **Unit circle is used in the circular function.

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**parabola function :** Parabolic function frequently used in physics, engineering, and many other areas.

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**Ellipse :** Ellipse is a curve in a plane with two focal points.

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Intercept of rational function
•

how to find horizontal asymptotes
•

how to find vertical asymptotes
•

how to find slant asymptotes
•

graph of rational functions with hole
•

graph a rational function
•

Evaluate inverse sine function
•

Inverse cosine function
•

inverse tan function
•

inverse trigonometric function arccosecx
•

inverse secant function
•

law of sines
•

law of cosines
•

find area of triangle using trigonometry
•

Circular function
• parabola function

• Ellipse

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