Trigonometry

Right Triangle Trigonometry

1. Basic Ratiossine, cosine, tangent, secant, cosecant, cotangent2–4 h
2. Solving Right Trianglesangles of elevation/depression, bearings2–4 h
3. Law of Sines & Law of Cosinesoblique triangles, ambiguous case2–4 h

Unit Circle & Graphs

1. Radian Measurearc length, sector area, conversion2–4 h
2. Unit Circlereference angles, special angles, signs by quadrant2–4 h
3. Graphs of Trigonometric Functionsamplitude, period, phase shift, vertical shift, inverse trig graphs2–4 h

Identities & Equations

1. Fundamental IdentitiesPythagorean, reciprocal, quotient2–4 h
2. Sum, Difference & Double-Angle Formulashalf-angle, product-to-sum, sum-to-product2–4 h
3. Verifying Identitiesstrategies for algebraic manipulation2–4 h
4. Trigonometric Equationsgeneral solutions, factoring, quadratic forms2–4 h

Applications

1. Trigonometry in Vectorscomponents, resultant, dot product preview2–4 h
2. Periodic Modelingsine/cosine regression, harmonic motion applications2–4 h
3. Polar Coordinates Introconversion, plotting, polar equations2–4 h