Transcript SOH-CAH-TOA - Wisconsin Rapids Public Schools

SOH-CAH-TOA
By:
Sam Kelly
&
Jamie Schiesser
Introduction to
SOH-CAH-TOA
SOH-CAH-TOA
Can only use SOH-CAH-TOA with right triangles.
Make sure to be in degree mode to find an angle.
Sine or Cosine cannot be bigger than 1
B
Opposite
•
•
•
C
A
Adjacent
•
•
•
•
•
•
Sine θ = Opposite/ Hypotenuse
Cosine θ = Adjacent/ Hypotenuse
Tangent θ = Opposite/ Adjacent
Cosecant θ = Hypotenuse/ Opposite
Secant θ = Hypotenuse/ Adjacent
Cotangent θ = Adjacent/ Opposite
Examples of SOH-CAH-TOA
#1
sinθ= 12/13
cosθ = 5/13
tanθ = 12/5
13
5
θ
scθ = c13/12
secθ = 13/5
cotθ = 5/12
12
x
#2
#3
15
X
34
15
X= --------- = Answer: 26.82
sin34
23
X= --------- =
cos39
39
Answer: 29.60
23
Finding Angles
P
13
R
12
tan (Q) = PR/PQ
Q
tan(Q)= 13/12
tan-1=(13/12)
Q= 47.29o
90-47.29 = 42.71
R= 42.71o
Word Problem
From a point of 340 ft away from the base of
Apple Plaza in Wisconsin, the angle of
elevation to the top of the building is 65
degrees. Find the height of the building.
X
tan65= -------- =
340
X
65
340 ft
Answer:
729.132
30 Degree Triangles
Sin 60=√3/2
Cos 60=1/2
Tan 60=√3/1=√3
Csc 60=2/√3
Sec 60= 2/1=2
Cotan 60=1/√3
60
2
1
90
30
√3
45 degree Triangle
sin 45= √2/2
cos 45=√2/2
tan 45=1/1=1
csc 45=2/√2
sec 45=2/√2
cotan 45=1/1=1
45
√2
1
90
45
1
Supplement Activity:
Jeopardy
https://jeopardylabs.com/play/si
ne-cosine-tangent
Assessment
testmoz.com/111736