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

Yes. StudyPug covers every topic in the Minnesota high school trigonometry curriculum, including the unit circle, trig identities, and the Laws of Sines and Cosines, with worked examples that match what students see in class.

How long are the video lessons for trigonometry?

Most video lessons run between a few minutes and around ten minutes, so students can watch one concept at a time, pause, and rewatch as needed without sitting through a full class period.

Is there a Minnesota state test for high school trigonometry?

Minnesota uses the MCA (Minnesota Comprehensive Assessments) for math, but trigonometry is not a standalone tested course. MCA math assessments are given in grades 3-8 and grade 11, so students encounter tested content in their 11th-grade year.

Can my child use StudyPug on a tablet or phone?

Yes. StudyPug works on tablets, phones, and computers, so students can review a lesson or practice a few problems from any device, whether at home or on the go.

Can I try StudyPug before paying?

Yes. StudyPug offers free sample lessons so families can see how the content works before subscribing. There is also a 30-day money-back guarantee if the service is not the right fit.

MN High School Trigonometry Curriculum

Give your child the support they need to succeed in high school trigonometry. StudyPug covers every topic Minnesota schools teach, from the unit circle to the Laws of Sines and Cosines.

MN 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

Trigonometry

About High School Minnesota Trigonometry

Minnesota follows the Minnesota Academic Standards for mathematics, organized around conceptual understanding, procedural skill, and application. This trigonometry course covers radian and degree measure, unit circle definitions of trigonometric functions, graphs and transformations of trig functions, inverse trigonometric functions, trigonometric identities including the Pythagorean identity, and solving triangles using the Laws of Sines and Cosines. StudyPug provides video lessons, practice problems, and step-by-step explanations aligned to these standards.

Strands covered: unit circle and radian measure, trigonometric functions and their graphs, inverse trig functions and identities, right triangles and Laws of Sines and Cosines
Video lessons walking through every concept, from special triangle values to addition and subtraction formulas
Practice problems and worked examples for each topic, matched to Minnesota Academic Standards
Step-by-step solutions that show exactly how to reach the answer, ideal for homework and test preparation

Curriculum topics by strand

Find lessons and practice for every Trigonometry strand, aligned to the Minnesota Academic Standards for high school math.

Topic includes:

Practice

Video

Quiz

Standard

StudyPug Topic

Minnesota High School Trigonometry Topics

Radian measure and the unit circle: Understanding radian measure as arc length on the unit circle, extending trigonometric functions to all real numbers, and using the unit circle to derive values for special angles and express sine, cosine, and tangent across all quadrants.
Trigonometric functions and their graphs: Using the unit circle to explain symmetry, periodicity, odd and even properties, and choosing trigonometric functions to model periodic phenomena with specified amplitude, frequency, and midline.
Inverse trigonometric functions and equations: Restricting domains to construct inverse functions, using inverse functions to solve trigonometric equations in modeling contexts, and interpreting solutions.
Trigonometric identities: Proving the Pythagorean identity and applying it to find unknown values, and proving and applying the addition and subtraction formulas for sine, cosine, and tangent.
Right triangles and trigonometric ratios: Defining trigonometric ratios for acute angles through similarity, using the relationship between sine and cosine of complementary angles, and applying trig ratios and the Pythagorean Theorem to solve applied problems.
Laws of Sines and Cosines: Deriving and proving the Laws of Sines and Cosines, finding the area of a triangle using A = 1/2 ab sin(C), and solving right and non-right triangles in real-world contexts.
Geometric foundations: Precise definitions of angles, circles, and lines; definitions of rotations, reflections, and translations; and deriving arc length and sector area formulas using radian measure.

How StudyPug Helps Minnesota High School Trigonometry Students

When a student gets stuck on a concept like the unit circle or the Law of Cosines, StudyPug lets them go back to the exact lesson they need, watch it at their own pace, and then work through practice problems with step-by-step solutions. This targeted approach helps students close gaps without waiting for the next class.

Every lesson is built around the skills and reasoning the Minnesota Academic Standards require, so students are practicing what their Minnesota teachers are actually assigning - not a generic curriculum that may not match their course.

Aligned to Minnesota High School Trigonometry Curriculum

StudyPug's trigonometry content is structured to match the Minnesota Academic Standards for high school math, covering each strand in the order Minnesota schools typically teach it - from radian measure and the unit circle through inverse functions, identities, and triangle applications - so students always find support for exactly what they are working on in class.

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Written by the StudyPug Math Team

Last updated June 5, 2026

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