MathIsPower4U / High School / Math
Lecture : Example 2: Graphing a Transformation of Sine and Cosine
By James Sousa | Fundamentals of Trigonometry - ck12.org Textbook
Lecture 132 of 190
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 More Lectures - Select Lecture...1 : Angle Basics2 : Animation: Types of Angles3 : Measuring Angles Using a Protractor4 : Angle Relationships and Types of Triangles5 : Similar Polygons6 : The Pythagorean Theorem7 : Pythagorean Theorem and The Converse of Pythagorean Theorem8 : Animation: The Sum of the Interior Angles of a Triangle9 : Degrees, Minutes, and Seconds10 : Angles in Standard Position11 : Animation: Angles in Standard Position12 : Congruent and Similar Triangles13 : Introduction to Trigonometric Functions Using Triangles14 : Introduction to Trigonometric Functions Using Angles15 : 30-60-90 and 45-45-90 Triangles16 : Solving Special Right Triangles17 : Determining Trigonometric Function Values on the Calculator18 : Determining Trig Function Values Using Ref. Angles and Triangles19 : Determine Trigonometric Function Values Using the Unit Circle20 : The Reciprocal, Quotient, and Pythagorean Identities21 : Introduction to Inverse Trigonometric Functions22 : Domain, Range, and Signs of Trigonometric Function23 : Solve Right Triangles: Part 1 The Basics24 : Solving Right Triangles - Part 2 Applications25 : Determine Angles, Trig Function Values NOT Using Reference Angles26 : Radian Measure27 : Arc Length and Area of a Sector28 : Linear Velocity and Angular Velocity29 : Graphing the Sine and Cosine Function30 : Animation: Graphing the Sine Function Using The Unit Circle31 : Animation: Graphing the Cosine Function Using the Unit Circle32 : Graphing the Tangent Function33 : Animation: Graphing the Tangent Function Using the Unit Circle34 : Graphing Cosecant and Secant35 : Graphing the Cotangent Function36 : Graphing Cosine, Sine, and Tangent on the TI8437 : Graphing Secant, Cosecant, and Tangent on the TI8438 : Amplitude and Period of Sine and Cosine39 : Horizontal and Vertical Translations of Sine Cosine40 : Graphing Sine and Cosine with Transformations41 : Graphing Tangent and Cotangent over Different Periods42 : Determining the Equation of a Sine and Cosine Graph43 : Fundamental Trigonometric Identities: Reciprocal, Quotient...44 : Negative Angle identities45 : Even and Odd Trigonometric Identities46 : Verifying Trigonometric Identities: The Fundamental Identities47 : Sum and Difference Identities for Cosine48 : Sum and Difference Identities for Sine49 : Sum and Difference Identities for Tangent50 : Double Angle Identities51 : Half Angle Identities52 : Verifying Identities: Sum, Difference, Double, and Half Angle Identities53 : Sum to Product and Product to Sum Identities54 : Inverse Functions55 : Animation: Inverse Function56 : Introduction to Inverse Sine, Inverse Cosine, and Inverse Tangent57 : Evaluating Expressions Involving Inverse Sine, Cosine, and Tangent58 : Animation: Inverse Sine, Inverse Cosine, and Inverse Tangent59 : Introduction to Inverse Cosecant, Inverse Secant, and Inverse Cotangent60 : Evaluate Expressions Involving Inverse Cosecant, Secant, and Cotan..61 : Solving Trigonometric Equations I62 : Solving Trigonometric Equations II63 : Solving Trigonometric Equations III64 : Solving Trigonometric Equations IV65 : Solving Trigonometric Equations V66 : Solving Trigonometric Equations VI67 : Solving Applications Problems Using Trigonometric Equations68 : The Law of Sines: The Basics69 : The Law of Sines: The Ambiguous Case70 : The Area of a Triangle using Sine71 : Herons Formula72 : The Law of Sines: Applications I73 : The Law of Sines: Applications II74 : The Law of Cosines75 : The Law of Cosines: Applications76 : Introduction to Vectors77 : Vector Operations78 : Vectors: Applications79 : Introduction to Polar Coordinates80 : Animation: Comparing Polar and Rectangular Coordinates81 : Converting Polar Equations to Rectangular Equations82 : Graphing Polar Equations I83 : Graphing Polar Equations II84 : Animation: Graphing Polar Equations85 : Introduction to Complex Numbers86 : Complex Number Operations87 : Complex Numbers in Trigonometric Form88 : The Product and Quotient of Complex Numbers is Trigonometric Form89 : De Moivres Theorem90 : Determining the Nth Roots of a Complex Number91 : Example: Determine if a Triangle is a Right Triangle Given the Length of 3 Sides92 : Example: Determine the Length of the Hypotenuse of a Right Triangle93 : Example: Determine the Length of the Leg of a Right Triangle94 : Example: Determine the Distance Between Two Points95 : Examples: Solve a 30-60 Right Triangle96 : Examples: Solve a 45-45 Right Triangle97 : Example: Determine the Perimeter of an Equilateral Triangle Given the Height98 : Example: Determine What Trig Function Relates Specific Sides of a Right Triangle99 : Example: Determine Trig Function Value Given a Right Triangle100 : Example: Determine the Length of a Side of a Right Triangle Using a Trig Equation101 : Example: Determine the Measure of an Angle of a Right Triangle Using a Trig Equation102 : Examples: Determine Angles of Rotation103 : Example: Determine if Two Angles Are Coterminal104 : Example: Determine a Coterminal Angle Between 0 and 360 Degrees105 : Example: Determine Positive and Negative Coterminal Angles106 : Examples: Determine the Reference Angle for a Given Angle107 : Example: Quadrant of Terminal Side of An Angle Given Trig Function Signs108 : Example: Determine the Area of a Triangle Using the Sine Function109 : Examples: Determine Trig Function Values Using Reference Triangles110 : Examples: Determining Basic Trig Function Values Using The Unit Circle111 : More Examples: Determining Trig Function Values Using The Unit Circle112 : Example: Trig Function Values Given a Point on Terminal Side of an Angle113 : Example: Determine Trig Function Values from Given Information114 : Examples: Converting Angles in Degree Measure to Radian Measure115 : Examples: Convert Angles in Radian Measure to Degree Measure116 : Examples: Determining Coterminal Angles in Radian Measure117 : Examples: Trig Function Values With Angle in Radians Using Unit Circle118 : Examples: Trig Function Values w/Angle in Radians Using Ref. Triangles119 : Examples: Determine Angles that have the Same Trig Function Value on the Interval [0, 360)120 : Example: Determine the Number of Revolutions Per Second of a Car Tire121 : Example: Determine Angular and Linear Velocity122 : Examples: Arc Length and Application of Arc Length123 : Examples: Area of a Sector and Area Bounded by a Chord and Arc124 : Example: Graph the Sine Function Using the Unit Circle125 : Example: Determine the Domain of the Secant and Cosecant Functions Using the Unit Circle126 : Example: Graphing the Secant Function Using the Cosine Function127 : Example: Graphing the Cosecant Function Using the Sine Function128 : Example: Graphing the Tangent Function Using the Unit Circle and the Reciprocal Identity129 : Example: Describe the Transformations of a Trig Function from a Graph130 : Example: Determine the Equation of a Transformed Sine Function From a Graph131 : Example 1: Graphing a Transformation of Sine and Cosine132 : Example 2: Graphing a Transformation of Sine and Cosine133 : Example 3: Graphing a Transformation of Sine and Cosine134 : Example 4: Graphing a Transformation of Sine and Cosine135 : Example: Graphing a Transformation of Cosecant Function136 : Example: Graphing the Tangent Function Over a Different Period137 : Example: Graphing a Transformation of the Cotangent Function138 : Example: Verify Pythagorean Identities For a Specific Angle139 : Examples: Even and Odd Trigonometric Identities140 : TrigExpressSimplifyEx1141 : Example 2: Simplifying a Trigonometric Expression142 : Example 3: Simplifying a Trigonometric Expression143 : Example 4: Simplifying a Trigonometric Expression144 : Example 5: Simplifying a Trigonometric Expression145 : Example: Simplify a Trig Expression Using the Sum and Difference Identities146 : Example: Evaluate a Trig Expression Using the Sum and Difference Identities147 : Example: Using The Sum and Difference Identity to Determine a Sine Function Value148 : Example: Using The Sum and Difference Identity to Determine a Cosine Function Value149 : Example: Using The Sum and Difference Identity to Determine a Tangent Function Value150 : Examples: Simplify and Evaluate a Trig Expression Using a Double Angle Identity151 : Example 1: Determine Double Angle Trig Function Values Given Information152 : DoubleAngleValueGivenInfoEx2153 : Example: Rewrite a Trig Expression Using a Half Angle Identity154 : Example: Determine a Cosine Function Value Using a Half Angle Identity155 : Example: Determine a Sine Function Value Using a Half Angle Identity156 : Example: Determine a Tangent Function Value Using a Half Angle Identity157 : Examples: Evaluate Inverse Trig Expressions (Part 1)158 : Examples: Evaluate Inverse Trig Expressions (Part 2)159 : Examples: Evaluate Inverse Trig Expressions (Part 3)160 : Examples: Evaluate Expression Involving Inverse Trig Functions (Part 1)161 : Examples: Evaluate Expression Involving Inverse Trig Functions (Part 2)162 : Example 1: Solve a Trig Equation Using the Calculator163 : Example 2: Solve a Trig Equation Using the Calculator164 : Example 1: Solving a Trigonometric Equation165 : Example 2: Solving a Trigonometric Equation166 : Example 3: Solving a Trigonometric Equation167 : Example 4: Solving a Trigonometric Equation Using a Trig Substitution and Factoring168 : Example 5: Solve a Trig Equation by Factoring169 : Example 1: Solving a Trig Equation with a Multiple Angle170 : Example 2: Solving a Trig Equation with a Multiple Angle171 : Example 1: Solve a Trig Equation Using a Double Angle Identity172 : Example 2: Solve a Trig Equation Using a Double Angle Identity173 : Example: Solve a Right Triangle Given the Length of Two Sides174 : Example: Determine the Height of an Object Using a Trig Equation175 : Example 1: Determine an Unknown Length Using Right Triangle Trigonometry176 : Example 2: Determine an Unknown Length Using Right Triangle Trigonometry177 : Example 3: Determine an Unknown Length Using Right Triangle Trigonometry178 : Example: Solve a Triangle Using the Law of Sines179 : Example: Solve a Triangle Using the Law of Sines Given Two Angles and One Side180 : Example 1: Determine an Unknown Length Using the Law of Sines181 : Example 2: Determine an Unknown Length Using the Law of Sines182 : Example: Application Problem Solved Using the Law of Sines183 : Example 1: Application of the Law of Cosines184 : Example 2: Application of the Law of Cosines185 : Example 3: Application of the Law of Cosines186 : Example: Identify 4 Possible Polar Coordinates for a Point Using Degrees187 : Example: Identify 4 Possible Polar Coordinates for a Point Using Radians188 : Example: Convert a Point in Rectangular Coordinates to Polar Coordinates Using Degrees189 : Example: Convert a Point in Rectangular Coordinates to Polar Coordinates Using Radians190 : Example: Convert a Point in Polar Coordinates to Rectangular Coordinates

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1 : Algebra I Review - High School   (Salman Khan / Khan Academy)
2 : Geometry   (Multiple Instructors / Brightstorm)
4 : Geometry – Worked Examples   (Salman Khan / Khan Academy)
5 : Fundamentals of Geometry   (James Sousa / MathIsPower4U)
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