π―Game
Interactive Unit Circle Quiz
Drag and drop all 16 radian measures and coordinates onto the unit circle
πΈ Unit Circle & Trig Basics β 3.1 through 3.5
π3.1
Periodic Phenomena
Repeating patterns, period, cycles, and modeling real-world phenomena
π3.2
Sine, Cosine & Tangent Β· Radians
Standard position Β· sin=y/r Β· cos=x/r Β· tan=slope Β· radian=arc/r Β· unit circle
β3.3
Sine & Cosine Function Values
P=(r cosΞΈ, r sinΞΈ) Β· axis values Β· Ο/6, Ο/4, Ο/3 derivations Β· ASTC symmetry
π3.4
Sine & Cosine Graphs
Graphing sin ΞΈ and cos ΞΈ Β· midline Β· amplitude Β· period Β· frequency
π3.5
Sinusoidal Functions
Sinusoidal def Β· reading properties from graphs Β· max/min method Β· FRQ model
π Sinusoidal Functions & Tangent β 3.6 through 3.8
π3.6
Sinusoidal Transformations
Standard form aΒ·sin(bΞΈ)+d Β· reading a,b,d from graphs Β· phase shifts
π3.7
Sinusoidal Context & Data Modeling
Models from graphs, words, equations & tables Β· period from rates
π3.8
The Tangent Function
tan=sin/cos=slope Β· period=Ο/b Β· asymptotes Β· aΒ·tan(b(ΞΈ+c))+d
π΅ Inverse Trig & Identities β 3.9 through 3.12
π3.9
Inverse Trig Functions
arcsin/arccos/arctan Β· restricted domains Β· ranges Β· reflected unit circle
βοΈ3.10
Trig Equations & Inequalities
General solutions Β· linear & quadratic trig equations Β· sign charts
π‘3.11
Sec, Csc & Cot Functions
Reciprocal trig functions Β· asymptotes Β· ranges Β· solving via sin/cos/tan
π3.12
Equivalent Representations
Trig identities Β· Pythagorean identities Β· sum/difference & double angle formulas
πΉ Polar Coordinates & Functions β 3.13 through 3.15
π§3.13
Trig & Polar Coordinates
Polar system Β· equivalent representations Β· polarβrectangular Β· complex numbers
πΉ3.14
Polar Function Graphs
r=f(ΞΈ) Β· graph families Β· identifying from graphs Β· negative r Β· domain restrictions
π3.15
Rates of Change in Polar
Signed radius Β· distance from origin Β· relative extrema Β· average rate of change