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Warm Up
(Just give the fraction.)
3. Find the measure of ∠T: ________
4. Solve for the length of AC.
32o
17
Def. Trigonometry is the study of the
relationships between the angles and
sides of a right triangle.
Def. A comparison of the lengths of two
sides of a right triangle is called a
trigonometric ratio. The three most
common ratios of trigonometry are sine,
cosine, and tangent.
Write this on pg. 698
In a right triangle, the trig ratios can be
found by remembering
SOH
opp
si n A 
hyp
CAH
adj
cos A 
hyp
TOA
opp
tan A 
adj
pg. 698
SOH – CAH - TOA
pg. 698
Put these on a separate piece of paper
Solve for the variable in each problem:
SOH – CAH - TOA
SOH – CAH - TOA
12 cm
36°
SOH – CAH - TOA
x
Find x or y.
1)
cos 36 
y
8
2)
y  6.47
3)
tan 64  10x
y  4.9
tan 50 
x  5.96
x
5
SOH – CAH - TOA
pg. 700
SOH – CAH - TOA
pg. 701
pg. 701
SOH – CAH - TOA
pg. 702
SOH – CAH - TOA
Do this on your separate sheet of paper
Ex. Find x.
2
x
17
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