plagiarism video a sea devil tv production. o
TRANSCRIPT
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Plagiarism Video A SEA DEVIL TV production.
http://www.youtube.com/watch?v=VnTPv9PtOoo
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Academic IntegrityTrue or False?
1. Plagiarism is the misrepresentation of another’s academic or artistic work as one’s own. 2.One tip to avoid plagiarism is to use someone’s ideas without referencing the source.3. Plagiarism does not include copying another student’s homework with consent. 4. A breach of academic integrity in the upper school will likely result in the offense becoming a part of the student’s permanent record. A first incidence of academic dishonesty (including, but not limited to, copying another's homework, cheating on a test or quiz, or plagiarism) may lead directly to suspension or a warning/probation.5. Incidences of academic dishonesty is not cumulative – once you enter the next grade, it is erased off of your record.6. The school is obligated to report incidents of suspension to colleges, universities, and other educational institutions when they request such information.
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November 7, 2011At the end of today, you will be able to verify Trig Identities.
Warm-up:
Name two angles for, θ, if sinθ = -1/2
HW 4.2b: Pg. 309 #33-42, 53, 55
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Fundamental Trig Identities
csc
1sin
sec
1cos
sin
1csc
cos
1sec
cot
1tan
tan
1cot
Reciprocal Identities
Quotient Identities
cos
sintan
cot cossin
Pythagorean Identities
sin2θ + cos2θ = 1 1+ tan2θ = sec2θ
1+ cot2θ = csc2θ
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Pythagorean Identities
1sincos 22 222 cba 1
22
hyp
opp
hyp
adj
12
2
2
2
hyp
opp
hyp
adj
12
22
hyp
oppadj
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Pythagorean Identities
1sincos 22 222 cba
12
22
hyp
oppadj
12
22
c
ba
12
2
c
c
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Lesson 4.2bVerifying Trig Identities
Example 1: Verify that sec2θ – tan2θ = 1Use Trig Identities to convert
1
cos2
sin2cos2
1 sin2cos2
cos2cos2
Since, sin2θ + cos2θ = 1 1 - sin2θ = cos2θ
1 = 1 ✔
They have a common denominator, so…
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Try HW #37(1 + cosθ)(1 – cosθ) = sin2θ
When you multiply, you will get: 1 – cos2θ because it is a
difference of squares
sin2θ = sin2θ
Usesin2θ + cos2θ = 1✓
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Cofunction Identities
)90sin(cos BB )sin(cos CB
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Is this true?Show that cos θ = sin (90° – θ)
Take a look at a 30-60-90 triangle 30°
60°
2
1
√3
cos60 sin(90 60 )
1
2sin(30 )
1
21
2✓
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Cofunction Identities
sin2
cos
cos2
sin
tan2
cot
cot2
tan
sec2
csc
csc2
sec
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Negative Angle Identities
)tan()tan(
)cos()cos(
)sin()sin(
Add to HW: Show that these identities are true.
Even Function