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SOH CAH TOA SEC CSC COT
2
SOH CAH TOA
Where is Theta and What is it?
Theta is always formed at the angle where the Hypotenuse and the Adjacent meet.
TOA
Tangent X= Opposite/Adjacent
CAH
tanx=49/36
tan-1(tanx=49/36)
x=tan-1(49/36)
X=53.7
49
Cosine X= Adjacent/Hypotenuse
X
36
cos53=45/k
k(cos53=45/k)
kcos53=45
(kcos53=45)/cos53
k=45/cos53
k=74.77
Trig
Where are Adjacent, Opposite, and Hypotenuse found?
Trigonometry is the study of the relationships between triangles. These relationships can be discovered using Sine, Cosine and Tangent and their functions. SOH CAH TOA can be used for many different purposes including finding the measure of an angle or the length of a side by manipulating the three sides: the hypotenuse, opposite side, and the adjacent side.
Adjacent is next to the angle theta
Opposite is "opposite" to the angle theta
Hypotenuse is the longest side
Application Problems
30
cosx=19/30
cos-1(cosx=19/30)
x=cos-1(19/30)
x=50.7
x
19
sin20=80/x
80=x(sin20)
(80=x(sin20))/sin20
80/sin20=x
x= 233.9
80
x
20
SOH
Sine X = Opposite/Hypotenuse
sine 53= x/15
15(sine 53=x/15)
15sin53=x
x=11.98
Application Problems
tanx=99/82
tan-1(tanx=99/82)
x=tan-1(99/82)
x=50.37
99
x
How to Remember:
82
sin38=62/x
62=x(sin38)
(62=x(sin38)/sin38
x=62/sin38
x=100.7
x
62
Sailors Often Have Curly Auburn Hair Till Old Age
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