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CC Standards Trigonometry

Common Core Standards Trigonometry

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Common Core Trigonometry Help | Master Trig ConceptsHelp

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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

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Common Questions About Trigonometry Help

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Is StudyPug aligned with Common Core trigonometry standards?

Yes, StudyPug is 100% aligned with Common Core State Standards for trigonometry, covering unit circle, trig identities, and laws of sines and cosines comprehensively.

How does StudyPug help with unit circle concepts?

We provide step-by-step video lessons on radian measure, special triangles, and periodicity with unlimited practice problems to build mastery of unit circle applications.

Can StudyPug help prepare for SAT Math?

Absolutely. Our trigonometry course covers all SAT Math topics including trig ratios, identities, and triangle solving with targeted practice problems.

What if my child struggles with trigonometric identities?

Our diagnostic assessment identifies specific gaps, then creates a personalized learning path with video lessons and adaptive practice focused on their weak areas.

How much time should my child spend on StudyPug?

Most students see improvement with 30-45 minutes of focused practice 3-4 times per week, though progress varies based on individual learning pace and goals.

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