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CC Standards Trigonometry

Common Core Standards Trigonometry

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Common Core 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.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 Common Core Trigonometry Coverage

Trigonometry Lessons

36

Video Explanations

221

Practice Problems

300

Common Core Standards

100% Aligned

Why Students Choose StudyPug for Common Core

SAT/ACT Prep

SAT/ACT Prep

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Certified Teachers

Expert instructors who know Common Core expectations

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Success Stories

Law of Sines was impossible for him. After three weeks on StudyPug, he aced his triangle unit test with a 94%.

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The video breakdowns of trig identities saved us. She went from confused to confident and raised her grade a full letter.

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Common Questions About Trigonometry Help

Everything you need to know about mastering trig with StudyPug

What trigonometry topics does StudyPug cover?

We cover all Common Core trigonometry standards including unit circle, radian measure, trig functions, identities, inverse functions, right triangle trig, Law of Sines, Law of Cosines, and modeling applications.

How does StudyPug help with the unit circle?

Our video lessons break down the unit circle step-by-step, teaching radian measure, special angles, and how to find trig values. Practice problems reinforce symmetry and periodicity until mastery is achieved.

Does StudyPug cover trigonometric identities?

Yes, we provide detailed instruction on the Pythagorean identity, addition and subtraction formulas, and how to use them to solve problems. Every identity proof includes step-by-step explanations.

Can StudyPug help with Law of Sines and Cosines?

Absolutely. Our lessons prove both laws and show how to apply them to right and non-right triangles. Practice problems cover finding unknown sides, angles, and areas in real-world contexts.

Is StudyPug aligned with Common Core Standards?

Yes, StudyPug is 100% aligned with Common Core State Standards for trigonometry. Every lesson maps directly to specific standards, ensuring complete curriculum coverage for high school students.

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