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Khan Academy MTH 1120

This website shows Khan Academy links for most topics in MTH 1120.

First find the chapter you want in the menu below.

Scroll down through each section to see some links to Khan Academy videos and practice problems for topics in this section.  

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Section 1.1: Angles
TopicVideosPractice Problems
Finding the complement and the supplement of an angle Complementary and supplementary angles Complementary and supplementary angles practice
Finding measures of complementary and supplementary angles Angle addition postulate
Calculating with degrees, minutes, and seconds    
Converting between angle measures    
Finding measures of coterminal angles    

 

Section 1.2: Angle Relationships and Similar Triangles
TopicVideosPractice Problems
Vertical angles Intro to vertical angles Vertical angles practice
Transversals
Angle sum of a triangle Triangle angle example  
Conditions for similar triangles Similar triangles practice
Finding side lengths in similar triangles How to find a missing measure with similar triangles  Solving similar triangles 

 

Section 1.3: Trigonometric Functions
TopicVideosPractice Problems
Pythagorean theorem Intro to Pythagorean theorem Pythagorean theorem practice
Distance formula Distance formula Distance formula practice
Trigonometric functions

Intro to the trigonometric ratios

Trigonometry practice
Finding function values of an angle
Finding function values of quadrantal angles    

 

Section 1.4: Using the Definitions of the Trigonometric Functions
TopicVideosPractice Problems
Reciprocal identities Reciprocal trig functions practice
Identifying the quadrant of an angle    
Determining whether a value is in the range of a trig function Graph of sin(x)  
Finding all function values given one value and the quadrant    
Pythagorean identities  
Quotient identities    
Using identities to find function values Use the Pythagorean trig identity  Circles and Pythagorean identities

 

Section 2.1: Trigonometric Functions of Acute Angles
TopicVideosPractice Problems
Cofunction identities    
Trigonometric function values of special angles    

 

Section 2.2: Trigonometric Functions of Non-Acute Angles
TopicVideosPractice Problems
Finding reference angles    
Finding trig function values using reference angles    
Using coterminal angles to find function values    
Finding angle measures given an interval and a function value    

 

Section 2.3: Approximations of Trigonometric Function Values
TopicVideosPractice Problems
Finding function values with a calculator    
Using inverse trig functions to find angles Intro to inverse trig functions Solving for an angle practice

 

 

Section 2.4: Solutions and Applications of Right Triangles
TopicVideosPractice Problems
Significant digits Significant figures Significant figures practice
Solve a right triangle given an angle and a side Solving for a side in a right triangle Trigonometry practice 2
Solve a right triangle given two sides Intro to inverse trig functions Solve for an angle in a right triangle
Find a length given the angle of elevation Right triangle word problem Applying right triangles
Find an angle of depression Angles of elevation and depression  

 

Section 2.5: Further Applications of Right Triangles
TopicVideosPractice Problems
Solve a problem involving bearing    
Use trig to measure a distance    
Solve a problem involving angles of elevation Right triangle word problem  

 

Section 3.1: Radian Measure
TopicVideosPractice Problems
Radians Intro to radians  
Converting between degrees and radians Degrees to radians practice
Finding function values of angles in radian measure  

 

Section 3.2: Applications of Radian Measure
TopicVideosPractice Problems
Arc length Arc length Arc length practice
Area of a sector Area of a sector Areas of circles and sectors

 

Section 3.3: The unit circle and circular functions
TopicVideosPractice Problems
Unit circle Unit circle definition of trig functions  
Circular functions Matching ratios to trig functions  
Finding circular function values    

 

 

Section 3.4: Linear and angular speed
TopicVideosPractice Problems
Linear speed Relationship between angular velocity and speed  
Angular speed Relationship between angular velocity and speed  

 

Section 4.1: Graphs of the Sine and Cosine Functions
TopicVideosPractice Problems
Graph of the sine function Graph of y=sin(x)  
Graph of the cosine function    
Amplitude
Period  

 

Section 4.2: Translations of the Graphs of the Sine and Cosine Functions
TopicVideosPractice Problems
Horizontal translations Shifting and reflecting functions Graphs of trig functions practice

 

Section 4.3: Graphs of the Tangent and Cotangent Functions
TopicVideosPractice Problems
Graph of the tangent function Graph of y=tan(x)  
Graph of the cotangent function    

 

Section 4.4: Graphs of the Secant and Cosecant Functions
TopicVideosPractice Problems
Graph of the secant function    
Graph of the cosecant function    

 

Section 5.1: Fundamental Identities
TopicVideosPractice Problems
Fundamental identities  

 

Section 5.2: Verifying Trigonometric Identities
TopicVideosPractice Problems
Verifying an identity    

 

Section 5.3: Sum and Difference Identities for Cosine
TopicVideosPractice Problems
Cosine of a sum or difference Trig addition identities practice
Cofunction identities  

 

Section 5.4: Sum and Difference Identities for Sine and Tangent
TopicVideosPractice Problems
Sum and difference identities for sine Trig addition identities practice
Sum and difference identities for tangent    

 

Section 5.5: Double-Angle Identities
TopicVideosPractice Problems
Double-angle identities Double angle formula for cosine Trig addition identities practice
Product-to-sum identities    

 

Section 5.6: Half-Angle Identities
TopicVideosPractice Problems
Half-angle identities    

 

Section 6.1: Inverse Circular Functions
TopicVideosPractice Problems
Inverse sine function Intro to arcsine Inverse trig functions practice
Inverse cosine function Intro to arccosine Inverse trig functions practice
Inverse tangent function Intro to arctangent Inverse trig functions practice
Inverse secant, cosecant, and cotangent    

 

Section 6.2: Trigonometric Equations 1
TopicVideosPractice Problems
Solving a trigonometric equation by linear methods

 

Section 6.3: Trigonometric Equations 2
TopicVideosPractice Problems
Equations with half-angles    
Equations with double-angles    
Equations with multiple-angles    

 

 

Section 6.4: Equations Involving Inverse Trigonometric Functions
TopicVideosPractice Problems
Solve an equation involving inverse trig functions    

 

Section 7.1: Oblique Triangles and the Law of Sines
TopicVideosPractice Problems
Solving oblique triangles Determining congruent triangles Congruent triangles practice
Law of Sines Law of Sines practice

 

Section 7.2: The Ambiguous Case of the Law of Sines
TopicVideosPractice Problems
The ambiguous case    

 

Section 7.3: The Law of Cosines
TopicVideosPractice Problems
Law of Cosines Law of Cosines practice
Heron's Area formula Heron's formula  

 

Section 7.4: Geometrically Defined Vectors and Applications
TopicVideosPractice Problems
Vectors Intro to vectors and scalars  
Sum of vectors  
Scalar multiplication of vectors Scalar multiplication Scaling vectors practice
Finding the magnitude of a resultant Vector word problems

 

Section 7.5: Applications of Vectors
TopicVideosPractice Problems
Vector components Components of vectors Components of vectors practice
Magnitude and direction with components
Vector operations with components
The dot product Vector dot product  
Finding the angle between two vectors Defining the angle between vectors  

 

Section 8.1: Complex Numbers
TopicVideosPractice Problems
Imaginary unit i i and imaginary numbers intro  
Complex numbers
Addition and subtraction of complex numbers Adding complex numbers Adding and subtracting complex numbers
Multiplication of complex numbers Multiplying complex numbers Multiplying complex numbers practice
Complex conjugates Complex conjugates Find conjugates of complex numbers
Simplifying powers of i Powers of the imainary unit Imaginary unit powers

 

Section 8.2: Trigonometric (Polar) form of Complex Numbers
TopicVideosPractice Problems
Polar form Polar and rectangular forms of complex numbers Polar form practice

 

Section 8.5: Polar Equations and Graphs
TopicVideosPractice Problems
Rectangular and polar coordinates Polar coordinates 1  
Finding polar equations of lines and circles Polar coordinates 2  
Converting a polar equation to a rectangular equation Polar coordinates 3  

 

 

Section 8.6: Parametric Equations, Graphs, and Applications
TopicVideosPractice Problems
Parametric equations of a plane curve  

 

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