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Goniometria

Goniometria

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20 lug 20262 min read

Topic — Goniometria.

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28

Linked atoms

42 linked atoms.

28 Circonferenza goniometrica e funzioni sin, cos, tan

  • Angle of an inclined plane
  • Arcs differing by pi
  • arctan and the gradient
  • Complementary arcs
  • Conversion between degrees and radians
  • Conversion between polar and Cartesian
  • Conversion to radians
  • Derivatives of the inverse trigonometric functions
  • Domain, range and sign
  • 2
  • Equations in polar coordinates
  • From Cartesian to polar
  • From Cartesian to polar for a circle
  • From polar to Cartesian
  • From the angle to the point
  • Fundamental identity with complementary arcs
  • Graph of the tangent
  • Graphs of arcsin, arccos and arctan
  • Graphs of sine and cosine
  • How to reduce an angle to the first quadrant
  • Identity with arctan
  • Notable values
  • Opposite arcs
  • Periodicity
  • Plotting the cardioid
  • Polar coordinates and complex numbers
  • Polar equation of the parabola
  • Reading the solutions off the graph
  • Sine, cosine and tangent of an arbitrary angle
  • Supplementary arcs
  • The fundamental identity
  • The ladder leaning against the wall
  • The radian
  • The unit circle
  • Two languages for the same point
  • Values of inverse functions
  • Values using associated arcs
  • What associated arcs are
  • What polar coordinates are
  • Why radians are natural
  • Why the inverse functions are needed
  • Worked examples of the inverses

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  • The radian
  • Conversion between degrees and radians
  • Why radians are natural
  • The unit circle
  • From the angle to the point
  • Sine, cosine and tangent of an arbitrary angle
  • The fundamental identity
  • Domain, range and sign
  • Notable values
  • Periodicity
  • Graphs of sine and cosine
  • Graph of the tangent
  • What associated arcs are
  • Opposite arcs
  • Supplementary arcs
  • Arcs differing by pi
  • Complementary arcs
  • How to reduce an angle to the first quadrant
  • Reading the solutions off the graph
  • Why the inverse functions are needed
  • Graphs of arcsin, arccos and arctan
  • arctan and the gradient
  • Worked examples of the inverses
  • Derivatives of the inverse trigonometric functions
  • What polar coordinates are
  • Conversion between polar and Cartesian
  • Two languages for the same point
  • Equations in polar coordinates
  • Polar coordinates and complex numbers
  • Conversion to radians
  • From Cartesian to polar
  • From Cartesian to polar for a circle
  • Plotting the cardioid
  • Polar equation of the parabola
  • Values using associated arcs
  • Fundamental identity with complementary arcs
  • Equation sin α = √3/2
  • Values of inverse functions
  • The ladder leaning against the wall
  • Angle of an inclined plane
  • Identity with arctan
  • From polar to Cartesian