        Precalc Notes

 Functions, Vocabulary Quadratic Functions Exponent & Log Laws Orientation, ... Higher Order Polynomials Trig Functions, "Before Unit Circle" Calculator Resources Rationals Trig Functions, "Unit Circle & On" Lines Log & Exponential Functions Trig Cheat Sheet

Trig Functions, but Not the Unit Circle

 Sides opposite adjacent hypotenuse Right Triangle Sides & Angles --       equilateral triangle 30-60-90 triangle the square 45-45-90 triangle Fractions, Radians, Angles             - Radian Measure       Race Track  degree to radian radian to degree Degrees & Radians 90s 90s Answers 45s 45s Answers 60s 60s Answers 30s 30s Answers Trig Functions of Reference & Special Angles       trig30s  trig45s trig60s trig90s Veronica's Bow Tie Questions Answers Quadrantal Q & A Central Angles In math In physics What's a Radian? Sine, Cosine, Tangent sine cosine tangent trig tables - all functions Arc Functions -- Inverse Trig Functions Arc and arc functions web page All Arc Functions Images Ranges, Given Domain arcsine arccosine arctangent Trig Functions Including the Unit Circle

 Trig Functions Summary Pages Lessons 330 - Trig Functions Graphing Trig Functions blank 3-planes sine-cosine-tangent graphed cosecant-secant-cotangent graphed The Unit Circle Animated Unit Circle Web Page-- Text w/animation Static Pictures Black Unit Circle Colored Unit Circle Digital Manipulativeof the Unit Circle See them below. Puzzle 2 masters on a page. See Digital Manipulative at this location. Pythagorean Trig Identities sine-cosine, sin2(A) + cos2(A) = 1 tangent-secant, tan2(A) + 1 = sec2(A) cotangent-cosecant, cot2(A) + 1 = csc2(A) Curve Shifting Graph f(x) = Asin(Bx - C) + D Graph     f(x) = [Asin(Bx - C) + D] + [Asin(Bx - C) + D] See Both Dynamic Spread Sheet below.   Triangle Solving including Law of Sines, Law of Cosines Dynamic Spread Sheet below. Sine Law Ambiguous Case Web page w/ pictures & text manipulative masters Digital Manipulative at this location. Trig Summary 2 Hours of Trig Connect-the-Dots · Simplify Trig Expressions, · Simplify Arcfunction Expressions, · Solve Equations, · Spiced w/Identities & Function Properties Cheat Sheets of Trig Identities Pythagorean Identities, Cofunctions, Odd/Even Functions Sine, Cosine, & Tangent of the Sums & Differences Double & Half Angle Formulas (Signs of the Trig Functions) cheat.pdf including Veronica's Bow Tie cheat of just 30-45-60 1st day  Digital Manipulatives -- Dynamic Tokens sinelaw.xls DIGITAL MANIPULATIVE jig1.xls -- UNIT CIRCLE PUZZLE  Spread Sheets -- Dynamic Computation solvtrig.xls -- solve all sorts of triangles, Law of Sines, Law of Cosines sine.xls -- Asin(Bx-C)+D, sine, cosine, tangent, or sine & cosine  Sketch Pads -- Dynamic Analytic Geometry Angles NewCentral   -- One or 2 angles in standard position. radianSector   -- arc length, sector area, radians 30° 45° 60° 90° pdf questions,   30° 45° 60° 90° pdf answers 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 unitSinCosTriangle   -- sine & cosine functions with a unit circle unitTanSec   -- tangent & secant functions with a unit circle unitCotCsc   -- cotangent & cosecant functions with a unit circle 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 2TrigGraphs.gsp  -- 1 blank function, 1 parameter-driven       function on a "trig plane" 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 polar.gsp -- r( )=asin(b -c)+d

 Connect the Dots

 Functions, Vocabulary Quadratic Functions Exponent & Log Laws Orientation, ... Higher Order Polynomials Trig Functions, "Before Unit Circle" Calculator Resources Rationals Trig Functions, "Unit Circle & On" Lines Log & Exponential Functions Trig Cheat Sheet         © 3/2020, A. (A2) Azzolino www.mathnstuff.com/math/precalc/pnotes5.htm