SOH-CAH-TOA????
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SOH-CAH-TOA????
What does the abbreviation above stand for????
A
C
M
5 2
1. sin A
2. cos A
3. tan A
4. If C = 20º, then cos C is equal to:
A. sin 70 B. cos 70 C. tan 70
25
2152 2 21
2121
Skills Check
CCGPS Geometry
UNIT QUESTION: What patterns can I find in right triangles?Standard: MCC9-12.G.SRT.6-8
Today’s Question:How do we use trig ratios to find the missing sides and angles of a triangle?Standard: MCC9-12.G.SRT.6-8
Finding an angle.(Figuring out which ratio to use
and an inverse trig button.)
Ex: 1 Figure out which ratio to use. Find x. Round to the nearest tenth.
20 m
40 m
20tan
40
26.6o
1 20tan
40x
Tan-1 20 / 40 )
Shrink yourself down and stand where the angle is.
Now, figure out which trig ratio you have and set up the problem.
x
Ex: 2 Figure out which ratio to use. Find x. Round to the nearest tenth.
15 m50 m 15
sin50
17.5 o
1 15sin
50x
Sin-1 15 / 50 )
Shrink yourself down and stand where the angle is.
Now, figure out which trig ratio you have and set up the problem.
x
Ex. 3: Find . Round to the nearest degree.
9
17.29
2.17tan
62
1 17.2tan
9
Ex. 4: Find . Round to the nearest degree.
23
7
23
7cos
72
1 7cos
23
Ex. 5: Find . Round to the nearest degree.
400
200
400
200sin
30
1 200sin
400
Finding a side.(Figuring out which ratio to use
and getting to use a trig button.)
Ex: 6 Figure out which ratio to use. Find x. Round to the nearest tenth.
5520 m
x
20
55tanx
m 6.28x
x55tan20tan 20 55 )
Shrink yourself down and stand where the angle is.
Now, figure out which trig ratio you have and set up the problem.
Ex: 7 Find the missing side. Round to the nearest tenth.
72
80 ft
x
x
8072tan
ft 26x
8072tan x
72tan
80x
tan 80 72 = ( ) )Shrink yourself down and stand where the angle is.Now, figure out which trig ratio you have and set up the problem.
Ex: 8 Find the missing side. Round to the nearest tenth.
24
283 mx 283
24sinx
m 1.115x
x24sin283Shrink yourself down and stand where the angle is.
Now, figure out which trig ratio you have and set up the problem.
Ex: 9 Find the missing side. Round to the nearest tenth.
4020 ft x
2040cos
x
ft 3.15x
x40cos20
When we are trying to find a
side we use sin, cos, or tan.
When we are trying to find an angle we use (INVERSE) sin-1, cos-1, or tan-1.