1. By: Sam Kelly & Jamie Schiesser
SOH-CAH-TOA
By:
Sam Kelly
&
Jamie Schiesser

2. Introduction to SOH-CAH-TOA

3. 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
Sine θ = Opposite/ Hypotenuse
Cosine θ = Adjacent/ Hypotenuse
Tangent θ = Opposite/ Adjacent
Cosecant θ = Hypotenuse/ Opposite
Secant θ = Hypotenuse/ Adjacent
Cotangent θ = Adjacent/ Opposite
Opposite
Hypotenuse C A
Adjacent

4. Examples of SOH-CAH-TOA#1
sinθ= 12/13
cosθ = 5/13
tanθ = 12/5
scθ = c13/12
secθ = 13/5
cotθ = 5/12 13 5 θ 12 23
X= =
cos39
Answer: 29.60 x #3 #2 15 X 39 34 15
X= = Answer: 26.82
sin34 23

5. Finding Angles tan (Q) = PR/PQ tan(Q)= 13/12 tan-1=(13/12) Q= 47.29o
= R= 42.71o Q

6. 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
Answer: X 65
340 ft

7. 30 Degree Triangles Sin 60=√3/2 Sin 30= 1/2 Cos 60=1/2 Cos 30= √3/2
Tan 60=√3/1=√3
Csc 60=2/√3
Sec 60= 2/1=2
Cotan 60=1/√3
Sin 30= 1/2
Cos 30= √3/2
Tan 30=1/√3
Csc 30= 2/1=2
Sec 30= 2/√3
Cotan 30= √3/1= √3 60 2 1 90 30 √3

8. 45 degree Triangle sin 45= √2/2 csc 45=2/√2 cos 45=√2/2 sec 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

9. Supplement Activity: Jeopardy
ne-cosine-tangent

10. Assessment
testmoz.com/111736