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TAN GENTS
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Contents of This Page
 
     
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


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


Spreadsheets

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.


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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