Standard
Trigonometry · High school · Math
Topics typically covered
Typical US high school Trigonometry — aligned with Khan Academy Trigonometry units and standard precalculus trig preparation.
Angles and the unit circle
- Degree and radian measure — Convert between degrees and radians; find coterminal angles.
- The unit circle — Locate points and evaluate sine, cosine, and tangent at common angles.
- Reference angles — Use reference angles to evaluate trig functions in all quadrants.
Right-triangle trigonometry
- Sine, cosine, and tangent — Solve right triangles using trig ratios.
- Cofunction and complementary angles — Relate sine and cosine of complementary angles.
- Applications — Solve angle-of-elevation and other applied right-triangle problems.
Graphs of trigonometric functions
- Sine and cosine graphs — Graph with amplitude, period, phase shift, and vertical shift.
- Tangent and other graphs — Graph tangent and identify asymptotes and period.
- Modeling periodic phenomena — Fit simple sinusoidal models to real-world periodic data.
Trigonometric identities
- Pythagorean and reciprocal identities — Simplify expressions using fundamental identities.
- Sum and difference formulas — Expand sine and cosine of sums and differences.
- Double-angle and half-angle formulas — Apply double-angle and half-angle identities.
Equations and inverse trig
- Inverse trigonometric functions — Evaluate arcsine, arccosine, and arctangent with restricted ranges.
- Trigonometric equations — Solve basic trig equations on restricted and general intervals.
Oblique triangles and polar (intro)
- Law of sines — Solve oblique triangles with AAS, ASA, and SSA (ambiguous case).
- Law of cosines — Solve SAS and SSS triangles; find areas.
- Polar coordinates (intro) — Plot points in polar form and convert simple polar/rectangular pairs.
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$986 · Trigonometry · 18 tutoring hrs
Study guides, worksheets, reviews, practice tests, and answer keys for 1 class. 18 tutoring hours (1 hr / week · semester). Bundle discount applied vs buying separately. Pay in full via Zelle or Venmo.