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Master Precalculus

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Trig identities were impossible. The video lessons made them click. Went from D to B+ in six weeks.

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Why Precalculus Students Choose StudyPug

The complete learning system to master Precalculus

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Search with Photo

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Expert Video Teaching

Certified teachers break down trig functions, conic sections, and vectors step-by-step

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Unlimited Practice

5,000+ teacher-created practice questions prepare you for Precalculus exams

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2

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Practice & Master
Practice & Master

Work through similar problems until concepts stick.

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See Results

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Precalculus Help: Master Concepts Fast | TexasHelp

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ID

Standard

StudyPug Topic

TX.P.2.A

Use the composition of two functions to model and solve real-world problems

TX.P.2.C

Represent a given function as a composite function of two or more functions

TX.P.2.D

Describe symmetry of graphs of even and odd functions

TX.P.2.E

Determine an inverse function, when it exists, for a given function over its domain or a subset of its domain and represent the inverse using multiple representations

TX.P.2.G

Graph functions, including exponential, logarithmic, sine, cosine, rational, polynomial, and power functions and their transformations, including af(x), f(x) + d, f(x - c), f(bx) for specific values of a, b, c, and d, in mathematical and real-world problems

TX.P.2.H

Graph arcsin x and arccos x and describe the limitations on the domain

TX.P.2.I

Determine and analyze the key features of exponential, logarithmic, rational, polynomial, power, trigonometric, inverse trigonometric, and piecewise defined functions, including step functions such as domain, range, symmetry, relative maximum, relative minimum, zeros, asymptotes, and intervals over which the function is increasing or decreasing

TX.P.2.J

Analyze and describe end behavior of functions, including exponential, logarithmic, rational, polynomial, and power functions, using infinity notation to communicate this characteristic in mathematical and real-world problems

TX.P.2.K

Analyze characteristics of rational functions and the behavior of the function around the asymptotes, including horizontal, vertical, and oblique asymptotes

TX.P.2.L

Determine various types of discontinuities in the interval (-∞, ∞) as they relate to functions and explore the limitations of the graphing calculator as it relates to the behavior of the function around discontinuities

TX.P.2.N

Analyze situations modeled by functions, including exponential, logarithmic, rational, polynomial, and power functions, to solve real-world problems

TX.P.2.O

Develop and use a sinusoidal function that models a situation in mathematical and real-world problems

TX.P.2.P

Determine the values of the trigonometric functions at the special angles and relate them in mathematical and real-world problems

TX.P.3.A

Graph a set of parametric equations

TX.P.3.C

Use parametric equations to model and solve mathematical and real-world problems

TX.P.3.D

Graph points in the polar coordinate system and convert between rectangular coordinates and polar coordinates

TX.P.3.E

Graph polar equations by plotting points and using technology

TX.P.3.F

Determine the conic section formed when a plane intersects a double-napped cone

TX.P.4.A

Determine the relationship between the unit circle and the definition of a periodic function to evaluate trigonometric functions in mathematical and real-world problems

TX.P.4.B

Describe the relationship between degree and radian measure on the unit circle

TX.P.4.C

Represent angles in radians or degrees based on the concept of rotation and find the measure of reference angles and angles in standard position

TX.P.4.D

Represent angles in radians or degrees based on the concept of rotation in mathematical and real-world problems, including linear and angular velocity

TX.P.4.E

Determine the value of trigonometric ratios of angles and solve problems involving trigonometric ratios in mathematical and real-world problems

TX.P.4.G

Use the Law of Sines in mathematical and real-world problems

TX.P.4.H

Use the Law of Cosines in mathematical and real-world problems

TX.P.4.I

Use vectors to model situations involving magnitude and direction

TX.P.4.J

Represent the addition of vectors and the multiplication of a vector by a scalar geometrically and symbolically

TX.P.4.K

Apply vector addition and multiplication of a vector by a scalar in mathematical and real-world problems

TX.P.5.A

Evaluate finite sums and geometric series, when possible, written in sigma notation

TX.P.5.B

Represent arithmetic sequences and geometric sequences using recursive formulas

TX.P.5.C

Calculate the nth term and the nth partial sum of an arithmetic series in mathematical and real-world problems

TX.P.5.E

Calculate the nth term of a geometric series, the nth partial sum of a geometric series, and sum of an infinite geometric series when it exists

TX.P.5.F

Apply the Binomial Theorem for the expansion of (a + b)^n in powers of a and b for a positive integer n, where a and b are any numbers

TX.P.5.G

Use the properties of logarithms to evaluate or transform logarithmic expressions

TX.P.5.H

Generate and solve logarithmic equations in mathematical and real-world problems

TX.P.5.I

Generate and solve exponential equations in mathematical and real-world problems

TX.P.5.J

Solve polynomial equations with real coefficients by applying a variety of techniques in mathematical and real-world problems

TX.P.5.K

Solve polynomial inequalities with real coefficients by applying a variety of techniques and write the solution set of the polynomial inequality in interval notation in mathematical and real-world problems

TX.P.5.L

Solve rational inequalities with real coefficients by applying a variety of techniques and write the solution set of the rational inequality in interval notation in mathematical and real-world problems

TX.P.5.M

Use trigonometric identities such as reciprocal, quotient, Pythagorean, cofunctions, even/odd, and sum and difference identities for cosine and sine to simplify trigonometric expressions
Complete Texas Precalculus Coverage

Precalculus Lessons

112

Video Explanations

662

Practice Problems

1087

Texas Standards

100% Aligned

Why Texas Precalculus Students Love StudyPug

SAT Math Preparation

SAT Math Preparation

Practice with real SAT-style precalculus questions—be ready for test day

Certified Teachers

Certified Teachers

Learn from expert Texas teachers who know exactly what you need for Precalculus

Learn Anywhere

Learn Anywhere

Desktop, tablet, or phone—your Precalculus lessons sync across all devices

Success Stories

Parametric equations made no sense. The AI found exact lessons instantly. Aced my semester final and saved my GPA.

Jordan Chen

Used StudyPug for all precalc. The step-by-step solutions cut my homework time in half. Got an A in the class.

Taylor Kim

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Frequently Asked Questions

Get answers to common questions about StudyPug's Precalculus course

What does Precalculus coverage include?

Complete Precalculus curriculum with video lessons on functions, trigonometry, vectors, parametric equations, polar coordinates, and conic sections. Includes practice problems, step-by-step solutions, and progress tracking for every topic.

How does the AI photo search work?

Take a photo of any Precalculus problem, and our AI finds the exact lesson teaching that concept. It's like having a personal tutor who knows exactly what you need.

Are the teachers certified Texas educators?

Yes! Our teachers are certified Texas educators who understand Precalculus curriculum and create lessons specifically for Texas standards.

Can I use StudyPug on my phone or tablet?

Absolutely! StudyPug works on desktop, tablet, and mobile. Your progress syncs automatically so you can learn anywhere, anytime.

How will StudyPug help me prepare for the SAT?

We include SAT-style practice questions and teach the exact Precalculus concepts tested on the exam. Students report significantly improved test scores and confidence.

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Unlimited Targeted Practice
Unlimited Targeted Practice

10,000+ questions adjust to your exact skill level. Never run out of problems that challenge you.

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Visual Progress Tracking

See mastery percentage for every topic. Parents get weekly progress emails automatically.

Achievement System
Achievement System

Earn badges for consistency and improvement. Build learning streaks that motivate daily practice

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Detailed Analytics

Time spent, problems solved, concepts mastered. Identify exactly where more practice is needed.

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