Chapter 2 Trigonometry

Ch 2  Acute Angles and Right Triangles

 

Ch 2.1  Trigonometric Functions of Acute Angles

Cofunction Identities
http://www.youtube.com/watch?v=_gkuml–4_Q&feature=youtu.be

Finding sin (30º),cos (30º), tan (30º), sin (60º),cos (60º), tan (60º), sin (45º),cos (45º), tan (45º)

http://www.youtube.com/watch?v=6Cb-XzSMXo4

Using the Ratio of the Sides of 30–60–90 Triangle or 45-45-90 Triangle to solve the Triangles
http://www.youtube.com/watch?v=b6MsSkXYQo4

Examples: Solve a 30–60–90 Right Triangle
http://www.youtube.com/watch?v=qOZeOCwwUkE

Examples: Solve a 45–45–90  Right Triangle
http://www.youtube.com/watch?v=Ucy2mUCcMIs

Ch 2.2  Trigonometric Functions of Non-Acute Angles

Examples: Determine the Reference Angle for a Given Angle :

Determining the reference angle θ=221º;

Determining the reference angle θ=347º;

Determining the reference angle θ= –125º
http://www.youtube.com/watch?v=YJNSRvhd3uA

Determining the reference angles for cos 210º, tan (–45)º;
http://www.youtube.com/watch?v=eh_rN2N-niE&list=PL86281C72D802CE05&index=29&feature=plpp_video

Determining the Reference Angle for θ=460º, θ=165º, θ= –40º, θ= –283º
http://www.youtube.com/watch?feature=player_embedded&v=qgGFQXnuszk

Determining Reference Angles of 120º, 210º, –45º, 270º

http://www.youtube.com/watch?v=D6RP_ttfT4M

Determining Trigonometric Function of cos (60º), tan (180º), csc (225º), sec (–240º), cot (540º) from a Unit Circle
http://www.youtube.com/watch?v=i56P6xzsB5Y

Determining Trigonometric Function Values of 90º, 150º, –60º, from a unit Circle
http://www.youtube.com/watch?v=wGFOlLJz24I

Determining Trigonometric Function Values of –990º from a unit Circle
http://www.youtube.com/watch?v=BFtqhHgXSMk

Ch 2.3  Finding Trigonometric Function Values Using a Calculator

Determining Trigonometric Function Values on the Calculator :
sin (30º), cos (45º), tan (–264º), sec (102.5º), csc (432º), cot (–23.45º)
http://www.youtube.com/watch?v=rhRi_IuE_18

Using Inverse Trigonometric functions to Find Angles :

Solving for θ for sin θ=0.7523, tan θ=3.54, and Find the Sides and Angles of a Right Triangle
http://www.youtube.com/watch?v=JutzksM5PN4

Solving for θ for cos-1(1/2 ) and tan-1(–1)
http://www.youtube.com/watch?v=nPeDoGwtPNc

Finding the Trigonometric Function Values Using Calculator: cos (369.18°), tan (426.62°), sin (46.6°), cot (17.9°)
Solving for θ for csc θ=3.6, cot θ=2.1, csc θ=1.63, sec θ=7.25
http://www.youtube.com/watch?v=M7z2n1KpIEg

Ch 2.4  Solving Right Triangles

Example: Determining the Measure of an Angle of a Right Triangle Using a Trig Equation
http://www.youtube.com/watch?v=ypgcPKH4m4A

Solving the sides and angles of Right Triangles
http://www.youtube.com/watch?v=p6hcLw4lzTQ

Applications : Angle of Elevation
http://www.youtube.com/watch?v=-QOEcnuGQwo

Finding the Height of an Object

Finding the Height of a Tree
http://www.youtube.com/watch?v=-2w7Mdq5C58

Finding the Height of a Flagpole (Part 1 of the video)
http://www.youtube.com/watch?v=-QOEcnuGQwo

Simple Distance Problem – A Hiking Problem
http://www.youtube.com/watch?v=ErVTgggAQjs&list=PL86281C72D802CE05&index=49&feature=plpp_video

Determining the Speed of a Boat
http://www.youtube.com/watch?v=LXPu-POyb4s&list=PL86281C72D802CE05&index=50&feature=plpp_video

Ch 2.5  Further Applications of Right Triangles

Applications : Finding the Distance of a Ship on an Angle of Bearing (Part 2 of the video)
http://www.youtube.com/watch?v=-QOEcnuGQwo

Finding the Height of a Building
http://www.youtube.com/watch?v=y0b90Yz-LPM&list=PL86281C72D802CE05&index=48&feature=plpp_video

Finding the Length of x Using Right Triangle Trigonometry
http://www.youtube.com/watch?v=j0uwY8zpMeg
http://www.youtube.com/watch?v=gfgtkeN5m8k
http://www.youtube.com/watch?v=Vf0LnQOaSxM