# 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.

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**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)

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

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**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.

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**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.

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**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

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**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.

• Intercept of rational function

• how to find horizontal asymptotes

• how to find vertical asymptotes

• how to find slant asymptotes

• graph a rational function

• inverse sine function

• inverse cos function

• inverse tan function

• inverse trigonometric function arccosecx

• inverse secant function

• law of sines

• law of cosines

• Circular function

• parabola function

• Ellipse

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