Illinois
Join 50,000+ Illinois students mastering trigonometry with expert video lessons and unlimited practice
Why Trigonometry Students Choose StudyPug
Three ways you get help — even when you’re stuck
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Expert Video Teaching
Certified teachers explain every concept from radians to law of cosines with clear, step-by-step examples
Unlimited Practice
Thousands of practice questions with step-by-step solutions for every trigonometry topic
How StudyPug Helps You Master Trigonometry
1
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Choose Trigonometry and see every topic from unit circle to law of sines organized and ready to learn
2
Get Unstuck
Upload homework problems or browse curriculum-aligned lessons on trig identities, radians, and more
3
Practice & Master
Work through similar problems with step-by-step solutions until trig concepts stick
4
See Results
Track exactly what you've mastered and where you need more practice before your next test
Illinois Trigonometry Help | StudyPug Practice & VideosHelp
ID | Standard | StudyPug Topic |
|---|---|---|
CC.HSF.TF.A.1 | Understand radian measure of an angle as the length of the arc on the unit circle subtended by the angle. |
CC.HSF.TF.A.2 | Explain 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. |
CC.HSF.TF.A.3 | Use 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. |
CC.HSF.TF.B.5 | Choose trigonometric functions to model periodic phenomena with specified amplitude, frequency, and midline. |
CC.HSF.TF.B.6 | Understand that restricting a trigonometric function to a domain on which it is always increasing or always decreasing allows its inverse to be constructed. |
CC.HSF.TF.B.7 | Use inverse functions to solve trigonometric equations that arise in modeling contexts; evaluate the solutions using technology, and interpret them in terms of the context. |
CC.HSF.TF.C.8 | Prove 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. |
CC.HSF.TF.C.9 | Prove the addition and subtraction formulas for sine, cosine, and tangent and use them to solve problems. |
CC.HSG.CO.A.1 | Know 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. |
CC.HSG.SRT.C.6 | Understand 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. |
CC.HSG.SRT.C.7 | Explain and use the relationship between the sine and cosine of complementary angles. |
CC.HSG.SRT.C.8 | Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems. |
CC.HSG.SRT.D.9 | Derive 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. |
CC.HSG.SRT.D.10 | Prove the Laws of Sines and Cosines and use them to solve problems. |
CC.HSG.SRT.D.11 | Understand and apply the Law of Sines and the Law of Cosines to find unknown measurements in right and non-right triangles. |
CC.HSG.C.B.5 | Derive 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. |
Complete Trigonometry Coverage
Topics
36
Video Lessons
221
Practice Problems
300
Illinois Standards
18
Why Illinois Trigonometry Students Love StudyPug
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Illinois Curriculum Aligned
Every lesson matches Illinois Learning Standards for trigonometry—what you learn in class, we teach
SAT Math Prep
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Expert Illinois Teachers
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Trigonometry Questions Answered
Everything you need to know about mastering trigonometry with StudyPug
What does Trigonometry coverage include?
Our Trigonometry course covers all 36 essential topics aligned with Illinois Learning Standards. You'll master unit circle, radian measure, trig ratios (sine, cosine, tangent), trig identities (Pythagorean, sum and difference, double-angle), graphing trig functions and transformations, special right triangles (30-60-90 and 45-45-90), inverse trig functions, law of sines and cosines, and real-world applications. With 221 video lessons and 313 practice problems, you get complete coverage of everything tested in Illinois trigonometry courses.
How does photo search work for trigonometry problems?
Photo search uses AI to recognize trigonometry problems instantly. Just snap a photo of your homework—whether it's finding exact trig values, graphing functions, or solving triangles with law of sines—and our system identifies the concept and shows you the exact lesson. It works with handwritten notes, textbook problems, and worksheets. You'll see step-by-step video explanations that match your specific problem type, making it perfect when you're stuck on homework at 10pm.
How many practice problems are available for trigonometry?
You get 313 practice problems covering every trigonometry topic, from unit circle coordinates to law of cosines applications. Each problem includes complete step-by-step solutions so you can see exactly where you went wrong. Problems range from basic trig ratio calculations to complex identity proofs and real-world applications. The adaptive system tracks which concepts you struggle with and serves up more practice in those areas. You can retake quizzes unlimited times until you master each concept.
What if I'm falling behind in Trigonometry?
StudyPug is perfect for catching up. Start with our diagnostic to identify exactly which concepts you're struggling with—whether it's radians, trig identities, or graphing. Then watch short, focused video lessons on just those topics. Our teachers break down complex concepts like sum and difference identities into simple steps you can actually understand. Practice problems with full solutions let you work at your own pace until each concept clicks. Students who were failing trigonometry regularly improve to B's and A's within weeks.
Does StudyPug help with Trigonometry exams and SAT prep?
Yes! Our practice problems mirror the format and difficulty of Illinois trigonometry exams. You'll practice the exact types of questions that appear on tests: evaluating trig functions, proving identities, graphing with transformations, and applying law of sines and cosines to word problems. For SAT prep, we cover all trigonometry topics tested including radians, unit circle, and trig in right triangles. The unlimited practice and step-by-step solutions build the confidence and speed you need for standardized tests.
How much does StudyPug cost?
StudyPug offers flexible plans starting at just a few dollars per month. You get unlimited access to all 221 trigonometry video lessons, 313 practice problems, photo search, and progress tracking across all your devices. Most students see grade improvement within the first month. We offer monthly and annual plans, with significant savings on annual subscriptions. There's no long-term commitment—cancel anytime. Compare that to $50+ per hour for a private tutor, and StudyPug is the most affordable way to master trigonometry.
Smart Study Tools for Real Results
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Adaptive Practice
Questions adapt to your level as you improve your trigonometry skills
Stay Motivated
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Quiz Mastery
Retake quizzes until you truly get it—no limit on attempts
Progress Tracking
See exactly where you need more practice in trigonometry
