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▾Trigonometry
- ▸Angle measures and circles
  - •Intro to radians
  - •Arc length and sector formulas
  - •Converting between radians and degrees
  - •Degrees-minutes-seconds
- ▸Right triangles and trig
  - •Intro to trigonometry
  - •Intro to the six basic trig functions
  - •Evaluating the six basic trig functions
  - •Evaluate the remaining basic trig functions
  - •Reciprocal and quotient identities
  - •Cofunction identities
  - •Special right triangles
  - •Area of an equilateral triangle
  - •Solving right triangles
  - •Circumradii of equilateral and isosceles triangles
- ▸Graphing trig functions
  - •Graphing sin and cos
  - •Graphing tan and cot
  - •Graphing sec and csc
- ▸Unit circle
  - •Finding the point on the unit circle
  - •Evaluating trig functions and solving trig equations using the unit circle
  - •Evaluating trig functions using coterminal and reference angles
  - •Proofs using the unit circle
  - •Signs of trig functions
- ▸Inverse trig functions
  - •Composition of trig functions
  - •Evaluating inverse trig functions using the unit circle
  - •Evaluating inverse trig functions using a calculator
  - •Find the inverse of a trigonometric function
  - •Graphing inverse trigonometric functions
- ▸Non-right triangles and trig
  - •Sine rule for area of a triangle
  - •Area of a segment
  - •Heron's formula
  - •Law of cosines
  - •Parallelogram law
  - •Stewart's theorem
  - •Law of sines
  - •Bretschneider's formula, and Brahmagupta's
- ▸Trigonometric identities
  - •Double and half angle formulas
  - ▸Solving trig equations
    - •Solving trigonometric equations by graphing
    - •Solving trigonometric equations by factoring out the GCD
    - •Finding general solutions to trig equations
    - •Solving harder trig equations by factoring
    - •Solving trigonometric equations quadratic in form
    - •t-results
  - •Solving trig equations by factoring trinomials
  - •Sum and difference formulas
  - •Auxiliary angle method
  - •Finding the acute angle between two lines
  - •Product-to-sum and sum-to-product formulas
  - •Proving inverse trig identities
  - •Power reducing trig identities
  - •Pythagorean identities
  - •Disproving trigonometric identities by counterexample
  - •Even-odd trig identities
- ▸Polar coordinates
  - •Plotting polar points
  - •Graphing polar equations
  - •Converting between polar and Cartesian form
- ▸Complex numbers in polar form
  - •Multiplying and dividing complex numbers in polar form
  - •Proving de Moivre's theorem
  - •Powers of complex numbers using De Moivre's theorem
  - •Roots of complex numbers using De Moivre's theorem
- ▸Hyperbolic and inverse hyperbolic functions
  - •Proving inverse hyperbolic identities
  - •Intro to hyperbolic functions
  - •Proving hyperbolic identities
  - •Solving hyperbolic equations

› Trigonometry

Non-right triangles and trig

Sine rule for area of a triangle
Area of a segment
Heron's formula
Law of cosines
Parallelogram law
Stewart's theorem
Law of sines
Bretschneider's formula, and Brahmagupta's