Chapter 1 Trigonometry

Ch 1  Trigonometric Functions

 

Ch 1.1  Angles

 

Angle Basics – Ray, Positive Angle, Negative Angle, Degree, Acute, Obtuse, Right, Straight, and Reflex    angle, Complementary Angle, Supplementary Angle
http://www.youtube.com/watch?v=7iBc5bJdanI

(Click on video title or blue hyperlink to make full screen)

Animation: Types of Angles – Acute, Obtuse, Right, Straight, and Reflex angle
http://www.youtube.com/watch?v=50eVno0s1DI&feature=relmfu

Adjacent, Complementary, Supplementary, and Vertical Angles
http://www.youtube.com/watch?v=rjOjwcV79HM&feature=relmfu

Degrees, Minutes, and Seconds
http://www.youtube.com/watch?v=tQLB1riYtz4&feature=relmfu

Animation: Angles in Standard Position
http://www.youtube.com/watch?v=hpIjaKLOo6o&feature=relmfu

Finding the Quadrant in Which an Angle Lies :

Examples :45º, 195º, -20º, –72º, 340º, 120º
http://www.youtube.com/watch?v=GIMMX55C9iU&feature=relmfu

Examples :380º, 1240º, –445º
http://www.youtube.com/watch?v=dfd8IlsXZgk&feature=relmfu

Examples :25º, –255º, –580º
http://www.youtube.com/watch?v=E0vPI3PPBBk&feature=relmfu

Angles in Standard Position Quadrantal Angle, and Coterminal Angles :

Coterminal Angles of 135º, 1070º, –65º, 90º
http://www.youtube.com/watch?v=Xtk1PVRoDLQ&feature=relmfu

Coterminal Angles of 45º, 135º, –255º, 90º
http://www.youtube.com/watch?v=dz5YpNFuhRQ&feature=relmfu

Determining if the pairs of angles are Coterminal Angles
http://www.youtube.com/watch?v=VV3rSBae-KY&feature=relmfu

Determining Positive and Negative Coterminal Angle of 68º
http://www.youtube.com/watch?v=m7jTGVVzb0s&feature=relmfu

Ch 1.2   Angle Relationships and Similar Triangles

Angle Relationships and Types of Triangles – Vertical Angle, Interior Angles, Equilateral Triangle, Isosceles Triangle, Scalene Triangle, Right Triangle, Acute Triangle, Obtuse Triangle, Sum of

Measures of Angles
http://www.youtube.com/watch?v=z_O2Knid2XA

 

 

Similar Polygons – Properties of Similar Polygons, Solve the Similar Triangles
http://www.youtube.com/watch?v=AFEDUm4bPHk

Congruent and Similar Triangles – Conditions for Similar Triangles, Solve for Similar Triangles
http://www.youtube.com/watch?v=OEp7YK6WEXE&feature=relmfu

Sum of Interior Angles in a Triangle
http://www.youtube.com/watch?v=GQERWzwaYcg

Ch 1.3  Trigonometric Functions


Introduction to Six Trigonometric Functions Using Triangles – Sine, Cosine, Tangent, Secant, Cosecant, Cotangent
http://www.youtube.com/watch?v=Ujyl_zQw2zE

 

Introduction to Six Trigonometric Functions Using Angles (in a Unit Circle) – Sine, Cosine, Tangent, Secant, Cosecant, Cotangent
http://www.youtube.com/watch?v=vaG4O6d48mo&feature=relmfu

Six Trigonometric Functions of Quadrantal Angles (0º, 90º, 180º, 270º)
http://www.youtube.com/watch?v=k9ih_86XkOQ

Finding The Trigonometric Function value based on a Coordinate :

Finding the Trigonometric Function values of Cotangent and Tangent with Coordinate of (3, 4)
http://www.youtube.com/watch?v=Y6moR4ksAZA&feature=relmfu

Finding the Trigonometric Function value of Secant with Coordinate of (5, 6)
http://www.youtube.com/watch?v=Z53Tf5gMrgg&list=PL86281C72D802CE05&index=25&feature=plpp_video

Finding the Trigonometric Function values of Sine and Cosine with coordinate of (7, –2)
http://www.youtube.com/watch?v=sM8CTuG349I&list=PL86281C72D802CE05&index=26&feature=plpp_video

Finding the Six Trigonometric Function Values with Coordinate of (10, –6)
http://www.youtube.com/watch?v=hCckoLUDIAc

Ch 1.4  Using the Definitions of the Trigonometric Functions

 

Finding Trigonometric Function Values Given One Trig Value cos θ=5/12  in a Right Triangle
http://www.youtube.com/watch?v=GWdQ9nfyN3Y&feature=relmfu

Finding the Area of the Triangle

http://www.youtube.com/watch?v=AK3GgzWSHJc&feature=relmfu

Finding the Missing Length and Cotangent Value
http://www.youtube.com/watch?v=7hDW_snc62I&feature=relmfu

Fundamental Trigonometric Identities: Reciprocal, Quotient, and Pythagorean Identities, and use identities to solve for angles :

Determining sec θ Given cos θ=2/3
Determining cot θ Given tan θ=5
Determining cos θ Given sec θ=-5/2
Finding sin θ and tan θ Given that cos θ=√3 /5 and sin θ>0
Finding sin θ and cos θ Given that tan θ= 5/12 and θ is in Quadrant III
http://www.youtube.com/watch?v=4BR_qUZ5jK0&feature=relmfu

Finding sin θ and tan θ Given that cos θ=3/4 and θ is in Quadrant IV
Finding sec θ and sin θ Given that cos θ=-5/3 and θ is in Quadrant II
Finding Six Exact Trigonometric Function Values Given the Point (–2, –4) on the Terminal Side of θ
http://www.youtube.com/watch?v=OmJ5fxyXrfg

Determining the Quadrant of the Terminal Side of an Angle Given Trig Function Signs
http://www.youtube.com/watch?v=wlE1XM97EJc

Finding Trigonometric Values Given One Trigonometric Value :

Finding sec θ, csc θ, tan θ and cot θ from sin θ= 5/√34 and cos θ=-3/√34
http://www.youtube.com/watch?v=iQlZIlrQ-3s&list=PL86281C72D802CE05&index=31&feature=plpp_video

Finding cos θ from tan θ=3/7 and cos θ<0
http://www.youtube.com/watch?v=kgiTSGr6obs&list=PL86281C72D802CE05&index=32&feature=plpp_video

Finding the Five Remaining Trigonometric Function Values from cos θ=3/7 and θ is in Quadrant IV
http://www.youtube.com/watch?v=wY25sbabTPk