8 6 sin cos ratios noted
TRANSCRIPT
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8-68-6
The Sine and Cosine RatiosThe Sine and Cosine Ratios
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Review TangentReview Tangent
tan oppxadj
X Z
Y
opp
adj
hyp
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Tangent exampleTangent example
X Z
Y
a
1434 ͦ
tan 3414a
0.674514a
9.4a
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What about the What about the hypotenuse?hypotenuse?
X Z
Y
a
1434 ͦ
c
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SineSine
sin oppxhyp
X Z
Y
opp
adj
hyp
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sin 24sin 24°= ?°= ?
0%
100%
0%
0% 1.1. 0.40230.40232.2. 0.91350.91353.3. 0.40670.40674.4. 0.44630.4463
11 22 33 44 55 66 77 88 99 1010 1111 1212 1313 1414 1515 1616 1717 1818 1919 2020
2121 2222 2323 2424 2525 2626
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sin ___ = 0.4856sin ___ = 0.4856
0%
0%
96%
4% 1.1. 2626°°2.2. 2929°°3.3. 4545°°4.4. 0.00850.0085
11 22 33 44 55 66 77 88 99 1010 1111 1212 1313 1414 1515 1616 1717 1818 1919 2020
2121 2222 2323 2424 2525 2626
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Solve for x.Solve for x.
0%
95%
0%
5%
X9
23°
1.1. 2.32.32.2. 2.02.03.3. 3.33.34.4. 2.82.8
11 22 33 44 55 66 77 88 99 1010 1111 1212 1313 1414 1515 1616 1717 1818 1919 2020
2121 2222 2323 2424 2525 2626
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CosineCosine
cos adjxhyp
X Z
Y
opp
adj
hyp
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cos 24cos 24°= ?°= ?
0%
95%
0%
5% 1.1. 0.40230.40232.2. 0.67540.67543.3. 0.91350.91354.4. 0.44630.4463
11 22 33 44 55 66 77 88 99 1010 1111 1212 1313 1414 1515 1616 1717 1818 1919 2020
2121 2222 2323 2424 2525 2626
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Solve for x.Solve for x.
5%
95%
0%
0%
X
1223°
1.1. 17172.2. 553.3. 13134.4. 1414
11 22 33 44 55 66 77 88 99 1010 1111 1212 1313 1414 1515 1616 1717 1818 1919 2020
2121 2222 2323 2424 2525 2626
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How are we going to How are we going to keep this all together?keep this all together?
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SOHCAHTOASOHCAHTOAsin
cos
tan
oppxadjadjxhypoppxadj
s =
c =
t =
ohahoa
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SPICSASPICSA
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