Will this help with my child's High School pre-calculus trigonometry homework?

Yes. StudyPug covers every strand in Indiana's high school pre-calculus trigonometry course, including the unit circle, trig identities, and the Laws of Sines and Cosines, so your child can find help on the exact topic assigned.

How long are the video lessons for pre-calculus trigonometry?

Most video lessons run between a few minutes and around ten minutes. They are broken into short, focused segments so your student can watch one concept at a time and replay any part they find difficult.

Is there a state test for High School pre-calculus trigonometry in Indiana?

Indiana uses ILEARN for math assessment, but ILEARN is administered in grades 3 through 8. High school math courses like pre-calculus trigonometry are not part of the ILEARN program, so there is no separate state test for this specific course.

Can my child use StudyPug on a tablet or phone?

Yes. StudyPug works on tablets, phones, laptops, and desktop computers, so your student can watch lessons and complete practice problems at home, at school, or on the go.

Can I try StudyPug before paying?

Yes. StudyPug offers free sample lessons so you can explore the content before subscribing. There is also a 30-day money-back guarantee, giving your family time to make sure it is the right fit.

IN High School Math Curriculum

Give your high schooler the support they need to succeed in pre-calculus trigonometry. Every lesson follows what Indiana schools teach, from the unit circle to the Laws of Sines and Cosines.

IN High School Math Curriculum

IDStandardStudyPug Topic

CC.HSF.TF.A.1Understand radian measure of an angle as the length of the arc on the unit circle subtended by the angle.
- Converting between degrees and radians
- Trigonometric ratios of angles in radians
- Radian measure and arc length
CC.HSF.TF.A.2Explain how the unit circle in the coordinate plane enables the extension of trigonometric functions to all real numbers, interpreted as radian measures of angles traversed counterclockwise around the unit circle.
- Unit circle
CC.HSF.TF.A.3Use special triangles to determine geometrically the values of sine, cosine, tangent for π/3, π/4 and π/6, and use the unit circle to express the values of sine, cosine, and tangent for π–x, π+x, and 2π–x in terms of their values for x, where x is any real number.
- Find the exact value of trigonometric ratios
- Solving expressions using 45-45-90 special right triangles
- Solving expressions using 30-60-90 special right triangles
CC.HSF.TF.B.5Choose trigonometric functions to model periodic phenomena with specified amplitude, frequency, and midline.
- Graphing transformations of trigonometric functions
- Determining trigonometric functions given their graphs
CC.HSF.TF.B.6Understand that restricting a trigonometric function to a domain on which it is always increasing or always decreasing allows its inverse to be constructed.
- Find the difference of squares: (a - b)(a + b) = (a^2 - b^2)
- Solving two-step linear equations using addition and subtraction: ax + b = c
CC.HSF.TF.B.7Use inverse functions to solve trigonometric equations that arise in modeling contexts; evaluate the solutions using technology, and interpret them in terms of the context.
- Evaluating inverse trigonometric functions
CC.HSF.TF.C.8Prove the Pythagorean identity sin^2(θ) + cos^2(θ) = 1 and use it to find sin(θ), cos(θ), or tan(θ) given sin(θ), cos(θ), or tan(θ) and the quadrant of the angle.
- Pythagorean identities
CC.HSF.TF.C.9Prove the addition and subtraction formulas for sine, cosine, and tangent and use them to solve problems.
- Sum and difference identities
- Double-angle identities
- Cofunction identities
CC.HSG.CO.A.1Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notions of point, line, distance along a line, and distance around a circular arc.
- Parallel and perpendicular line segments
- Line symmetry
- Angles in a circle
- Chord properties
- Circles and circumference
CC.HSG.SRT.C.6Understand that by similarity, side ratios in right triangles are properties of the angles in the triangle, leading to definitions of trigonometric ratios for acute angles.
- Use sine ratio to calculate angles and sides (Sin = o / h)
- Use tangent ratio to calculate angles and sides (Tan = o / a)
CC.HSG.SRT.C.7Explain and use the relationship between the sine and cosine of complementary angles.
- Use cosine ratio to calculate angles and sides (Cos = a / h)
- Cofunction identities
CC.HSG.SRT.C.8Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems.
- Combination of SohCahToa questions
- Word problems relating ladder in trigonometry
- Word problems relating guy wire in trigonometry
- Other word problems relating angles in trigonometry
CC.HSG.SRT.D.9Derive the formula A = 1/2 ab sin(C) for the area of a triangle by drawing an auxiliary line from a vertex perpendicular to the opposite side.
- Area of triangles: 1/2 a*b sin(C)
CC.HSG.SRT.D.10Prove the Laws of Sines and Cosines and use them to solve problems.
- Law of sines
- Law of cosines
CC.HSG.SRT.D.11Understand and apply the Law of Sines and the Law of Cosines to find unknown measurements in right and non-right triangles.
- Applications of the sine law and cosine law
CC.HSG.C.B.5Derive using similarity the fact that the length of the arc intercepted by an angle is proportional to the radius, and define the radian measure of the angle as the constant of proportionality; derive the formula for the area of a sector.
- Radian measure and arc length
- Converting between degrees and radians
- Trigonometric ratios of angles in radians

Pre-Calculus: Trigonometry

About High School Indiana math

Indiana follows the Indiana Academic Standards, which organize high school math into focused content strands. This pre-calculus trigonometry course covers the unit circle and radian measure, trigonometric functions and their graphs, inverse trigonometric functions, the Pythagorean identity, addition and subtraction formulas, right triangle trigonometry, and the Laws of Sines and Cosines. StudyPug provides video lessons, guided practice, and step-by-step explanations matched to every strand in this course.

Strands: unit circle and radian measure, trigonometric functions and graphs, inverse trig and identities, right triangle trig, Laws of Sines and Cosines
Video lessons and step-by-step explanations for every topic
Practice problems with worked examples aligned to Indiana Academic Standards
Lessons available on any device, any time, so your student can review at their own pace

Curriculum topics by strand

Browse lessons and practice problems organized by strand and aligned to the Indiana Academic Standards for high school pre-calculus trigonometry.

Topic includes:

Practice

Video

Quiz

Standard

StudyPug Topic

Indiana High School Pre-Calculus Trigonometry Topics

Unit Circle and Radian Measure: Understanding radian measure as arc length on the unit circle and deriving the relationship between arc length, radius, and the radian measure of an angle.
Trigonometric Functions and Graphs: Extending trig functions to all real numbers using the unit circle, identifying symmetry and periodicity, and modeling periodic phenomena with specified amplitude, frequency, and midline.
Special Angles and Values: Using special triangles to determine exact values of sine, cosine, and tangent for common angles, and expressing values for related angles across all quadrants.
Inverse Trigonometric Functions: Restricting domains to construct inverses and using inverse functions to solve trig equations that arise in modeling contexts.
Trigonometric Identities: Proving the Pythagorean identity and the addition and subtraction formulas for sine, cosine, and tangent, and applying them to solve problems.
Right Triangle Trigonometry: Defining trig ratios for acute angles, using the relationship between sine and cosine of complementary angles, and applying trig ratios and the Pythagorean Theorem to applied problems.
Laws of Sines and Cosines: Proving and applying the Law of Sines and the Law of Cosines to find unknown measurements in both right and non-right triangles, and deriving the area formula A = 1/2 ab sin(C).
Geometric Foundations: Precise definitions of angle, circle, and line relationships, and developing definitions of rotations, reflections, and translations in terms of those geometric objects.

How StudyPug Helps Indiana High School Math Students

When your student gets stuck on a trig identity or cannot remember how to apply the Law of Cosines, StudyPug lets them go back to the exact lesson they need. Every topic in Indiana's pre-calculus trigonometry course has a short video lesson followed by practice problems with step-by-step solutions, so your student can work through a concept until it clicks.

Students can move at their own pace - rewatching a lesson on inverse trig functions before a test or jumping ahead to the Laws of Sines and Cosines when class moves quickly. The practice problems are matched to the Indiana Academic Standards, so the work always connects to what their teacher is covering in class.

Aligned to Indiana High School Math Curriculum

StudyPug's pre-calculus trigonometry content is built around the Indiana Academic Standards for high school math. Every lesson and practice set maps to the same strands Indiana schools use - from radian measure and the unit circle through right triangle trigonometry and the Laws of Sines and Cosines - so your student is always studying exactly what their course requires.

Ready to put your High School Math skills to the test?

Jump into practice questions for every IN High School Pre-Calculus Trigonometry topic - with instant feedback and step-by-step video solutions when you get stuck.

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Written by the StudyPug Math Team

Last updated June 5, 2026

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