Date post: | 26-May-2015 |
Category: |
Health & Medicine |
Upload: | macbethr |
View: | 6,917 times |
Download: | 1 times |
Trigonometry Basics
By Ross MacBethEd. 205 Section 06
Quit
Main• Introduction• What is Trigonometry?• Sine Function• Cosine Function• Tangent Function• Pythagorean Theorem• Review
– Sine Function Problem• Solution
– Cosine Function Problem• Solution
– Tangent Function Problem• Solution
– Pythagorean Theorem Problem• Solution
– Harder Problem• Solution
• Resources• Concept Map
Quit
Ross MacBeth• I am a senior at Grand Valley and am
the president of Vertical Earth, Grand Valleys rock climbing club. I have been climbing for about 5 years now and have a deep passion for the sport. Through climbing I have gotten the opportunity to travel all over the country and have seen some amazing things. This has led to a love of travel that I hope will last my entire life. I grew up on the east side of Michigan and while family is very important to me I hope to move outside of Michigan someday.
For any questions please email me at [email protected]
Quit
What is Trigonometry?
• Trigonometry is the study of triangles. Using trig you can solve many problems percisely where you may have only been able to aproximate before. Trig is used in everything from engineering and archetecture to G.P.S.
• In this lesson we will only be studying right triangles, meaning only triangles with a right angle as one of their 3 angles.
• The longest side is known as the hypoteneuse and the other two sides are refered to as “legs.”
• Watch a video of solving trignometric functions here.
Quit
The Sine Function
• The Sine function is often denoted “sin”
• It can help find the length of an opposite side or hypoteneuse when the other is known.
• sin(Θ) = Opposite/hypoteneuse.
θ
opposite
hypoteneuse
adjacent
Quit
The Cosine Function
• The cosine function is often denoted “cos”
• It can help find the length of an adjacent side or hypoteneuse when the other is known.
• cos(Θ) = adjacent/hypoteneuse.
θ
opposite
adjacent
hypoteneuse
Quit
The Tangent Function
• The tangent function is often denoted “tan.”
• It can help find the length of an adjacent side or opposite side when the other is known.
• tan(Θ) = opposite/adjacent
θ
opposite
adjacent
hypoteneuse
Quit
The Pythagorean Theorem
• It can help find the length of any side when the other two lengths are known
θ
b
a
c
Quit
Review
Sine problem
Cosine problem
Tangent problem
Pythagorean Theorem problem
Extra hard problem
Quit
Solution
30
6X
What is the length of side X?
Quit
Quit
Solution
45
What is the length of the side X?
X
Quit
Quit
17
17
What is the angle of θ
θ
Solution
Quit
Quit
Solution
3
4
What is the length of the hypoteneuse?
Quit
Quit
θ
1
2
What is θ?
Solution
Hard ProblemQuit
Quit
Resources
http://www.cs.utah.edu/~draperg/cartoons/jb/watson.html
http://outkasty.files.wordpress.com/2007/10/trigonometry.jpghttp://www.sandomenico.org/uploaded/photos/Library/blackboard_math.gif
http://www.youtube.com/watch?v=lvP96cTBiBY
Quit
Concept Map Quit