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TAN GENTS
    AND OTHER THINGS OF INTEREST

Contents of This Page
 
     
Interactive Trig Sketch Pad Material
- Right Triangle Trig
- Radians
- Unit Circle & Pythagoresn Identities
- Polar Graphing
Spread Sheets -- Dynamic Computation
- Right Triangle Trig
- Graphs of Trig Functions
- Solve triangles
- Use Sine Law & Cosine Law
- Graphs y=Asin(Bx-C) +D
- Graph & Compair Two Trig Functions
- Sine Law Digital Manipulative
Triangle Vocabulary
- includes Greek letter notation
Right Triangle Sides & Angles
- 7th - 10th-grade work sets stage for Trig
30°-45°-60°-90° Angles
- from the equalateral triangle and quadraleteral
Unit Circle
- a circle with a radius of 1 for easy computation
- trig definitions
Pythagorean Trig Identities
- through a unit circle
Vocabulary
- trig functions
Special Angles
- in all quadrants
Fractions then Radian Measure
- Name improper fractions from 0 through 2
- Use these fraction to name radian angle measures
Sine Law
- ambiguous case
Trig Fx Translations, Etc.
Solve Triangles
Vector Addition
- w/paper, w/spreadsheet, w/html
Trig Cheat Sheets
special angles, etc.
identities
Proof of the Sine of the Sum and the Cosine of the Sum
Trig Tables
Short Tables for Graphing of Sine, Cosine, Tangent, Etc.
sine & cosine
tangent & cotangent
Arc Functions
- inverse trig functions
Connect-the-Dots Puzzles


Stuff on Other Pages


sketchpad sketchpad
Visit the Interactive Sketch Pad Material On This Topic
    Right Triangle Trig
  • cosplay   -- just right triangle cosine
  • TraceSin   -- just graph with a slideable point to display coordinates
  • sinplay   -- just right triangle sine
  • tanplay   -- just right triangle cosine
    Unit Circle and Identities
  • unitfx   -- 6 functions with a unit circle
  • Pythagorean   -- using only figure to adjust angle
  • PythagorIdentities   -- using either figure or parameter theta to adjust angle
    Trig
  • SinCosTan1stDay   -- Just sine, cosine, tangent of right triangle angles.
  • SinCosTan6fx   -- All 6 functions in right triangle only.
  • SinCosTanAllNumbers   -- All 6 functions in right triangle and forall numbers,
        * controlled by figure for right triangle,
        * parameter-defined angle measure in degrees for all measures, and
        * parameter-defined angle measure in decimal number times pi for radian measures
  • sinNcos.gsp   -- sine and cosine in right triangle only
  • TraceCos   -- drag point f(x) to state and show new ( x, f(x))
  • TraceSin   -- drag point f(x) to state and show new ( x, f(x))
  • 2 Sine Functions -- Asin(Bx-C) + D on 2 functions for comparison also h(x) = sine + cosine
  • SinTraceDerSum -- Sine from many views, right triangle, ABCD, derivative, antiderivative
  • polar.gsp -- r()=asin(b -c)+d


spread sheet notes spread sheet notes
Spread Sheets -- Dynamic Computation

sine.xls
  • Graphs y=Asin(Bx-C) +D, where A, B, C, D are input values.
  • Scatter-Plots y=Atan(Bx-C)+D, where A, B, C, D are input values.
  • Graphs two sine functions where A, B, C, D are input values.
  • Graphs one sine function and one cosine function where where A, B, C, D are input values.
solvtrg.xls
  • Solve a right triangle.
  • Solve a 45-45-90 triangle.
    Input leg a. Seek a leg and hypotenuse.
    Input side c. Seek two legs.
  • Solve a 30-60-90 triangle.
    Input leg a. Seek a leg and hypotenuse.
    Input leg b. Seek a leg and hypotenuse.
    Input side c. Seek the hypotenuse.
  • Use Pythagorean Theorem and arithmetic and basic trig.
    Input leg a and leg b. Seek the hypotenuse and the angles.
    Input hypotenuse c and leg a. Seek a leg and the angles.
    Input angle A and side a. Seek a leg, side, and hypotenuse.
  • Solve any triangle.
    Use the Sine Law, if a side and the opposite angle are given.
    Input angles A , B, side a. Seek two sides and an angle.
    Input angle A , side a, side b. Seek two angles and a side.
  • Use the Law of Cosines.
    Input sides a, b, c. Seek each angle.
    Input angle A , sides b,c. Seek no solution, 1 solution, or 2 solutions.
sinelaw.xls -- sine law digital manipulative




Triangle Sides & Angles Vocabulary


Right Triangle Sides & Angles


Fractions, Radians, Angles


Trig Functions of Reference  &   Special Angles


Six Trig Functions and the Unit Circle


Inverse Trig Functions


Pythagorean Trig Identities


Cheat Sheets of Trig Identities


Sine Law


Connect the Dots


Vector
  • Addition, use components to compute the resultant
  • vector.xls -- completes scalar addition, multiplication, and vector addition.
  • polrect.xls -- A DIGITAL MANIPULATIVE for drawing and addition of vectors.


Vocabulary
central angle
chord
cos
cosecant
cosine
cot, cotangent
csc
period
Pythagorean Theorem  
radian
reference angle
revolution
sec, secant
sin, sine
special angle
tan, tangent
trigonometric
trigonometry

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