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

Yes. StudyPug covers every Virginia SOL trigonometry topic, including radian measure, the unit circle, trigonometric identities, and the Laws of Sines and Cosines, with worked examples that match what your child sees in class.

How long are the video lessons for High School trigonometry?

Most video lessons run between five and fifteen minutes, focusing on one concept at a time. Students can pause, rewind, and rewatch as often as needed, making them easy to fit into a homework session.

Is there a Virginia state test for High School trigonometry?

Virginia SOL end-of-course tests exist for several high school math courses. Whether trigonometry is assessed depends on how your school district schedules and names the course - check with your child's teacher for the specific assessment details.

Can my child use StudyPug on a tablet or phone?

Yes. StudyPug works on tablets, phones, and desktop computers through any modern browser, so your child can practice Virginia trigonometry topics at home, at school, or on the go without needing to download anything.

Can I try StudyPug before paying?

Yes. StudyPug offers free sample lessons so you can explore the content before committing. Every paid plan also includes a 30-day money-back guarantee, so there is no risk in getting started.

VA High School Trigonometry Curriculum

Give your child the support they need to succeed in Virginia high school trigonometry. Video lessons and practice problems follow what local schools teach, from radian measure to the Laws of Sines and Cosines.

VA High School Trigonometry 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

High School Trigonometry

About High School Virginia Trigonometry

Virginia follows the Virginia Standards of Learning (SOL), which organizes trigonometry around the unit circle, trigonometric functions and their inverses, identities, and triangle applications. This course covers radian measure, special triangles, periodic modeling, the Pythagorean identity, addition and subtraction formulas, right triangle ratios, and the Laws of Sines and Cosines. StudyPug provides video lessons and practice problems aligned to Virginia SOL for every strand in this course.

Strands: unit circle and radian measure, trigonometric functions and inverses, trigonometric identities, and triangle applications (right triangles, Law of Sines, Law of Cosines)
Video lessons for every Virginia SOL trigonometry topic
Practice problems with step-by-step solutions for each strand
Content aligned to Virginia Standards of Learning for high school math

Curriculum topics by strand

Lessons and practice for every strand, aligned to the Virginia Standards of Learning for high school trigonometry.

Topic includes:

Practice

Video

Quiz

Standard

StudyPug Topic

Virginia High School Trigonometry Topics

Unit circle and radian measure: Radian measure as arc length on the unit circle, extension of trigonometric functions to all real numbers, symmetry and periodicity, and deriving the arc length and sector area formulas.
Trigonometric functions and inverses: Special triangle values for sine, cosine, and tangent, values at supplementary and related angles, modeling periodic phenomena with amplitude and frequency, and constructing and applying inverse trigonometric functions.
Trigonometric identities: Proving and applying the Pythagorean identity, and proving and using the addition and subtraction formulas for sine, cosine, and tangent.
Right triangle trigonometry: Trigonometric ratios for acute angles, the sine-cosine complementary angle relationship, and solving right triangles in applied problems using ratios and the Pythagorean Theorem.
Triangle applications - Law of Sines and Law of Cosines: Deriving the triangle area formula using sine, proving the Laws of Sines and Cosines, and applying them to find unknown measurements in right and non-right triangles.
Geometric foundations: Precise definitions of angle, circle, and line relationships; rotations, reflections, and translations defined in terms of these geometric objects.

How StudyPug Helps Virginia High School Trigonometry Students

When a student gets stuck on a problem - whether it is applying the Law of Cosines to a non-right triangle or working through an inverse trigonometric equation in a modeling context - StudyPug provides step-by-step video solutions that walk through the reasoning, not just the answer. Students can replay any step as many times as needed until the concept clicks.

Practice problems are organized by strand, so a student who needs extra work on trigonometric identities can focus there without having to search through unrelated material. Every problem set is built around the same skills tested in Virginia SOL high school math, keeping practice closely tied to what is covered in class.

Aligned to Virginia High School Trigonometry Curriculum

All lessons and practice problems on StudyPug for this course are aligned to the Virginia Standards of Learning for high school mathematics. The content follows the same sequencing and skills that Virginia schools use - from radian measure and the unit circle through the Laws of Sines and Cosines - so students are always working on material that matches their current coursework.

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Written by the StudyPug Math Team

Last updated June 5, 2026

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