find the missing measures. write all answers in radical form
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Warm – up . Find the missing measures. Write all answers in radical form . . x. 30 °. 30 . 10. z. 45 . 3. 60 . y. 45 . 60 °. y. Wed More 5.2 & 5.3 and 5.4 . Agenda for today. Notes SOHCAHTOA CW/HW. Thur Sect 5.4 cont and applications. Fri Test Unit #4. - PowerPoint PPT PresentationTRANSCRIPT
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Find the missing measures. Write all answers in radical form.
60°
30° 10
y
z
Warm – up
3
45y60
30x
45
23
33
y
x
535
yz
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Agenda for today
WedMore 5.2 & 5.3 and 5.4
Fri Test Unit #4
1.Notes SOHCAHTOA2.CW/HW Thur
Sect 5.4 cont and
applications
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Date: 09/29/09Questions over hw?
Standards:MA2G2:a: Discover the relationship of the trigonometric ratios for similar triangles.
Students will define and apply sine, cosine, and tangent ratios to right triangles.
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The Trigonometric Functions we will be
looking at
SINECOSINE
TANGENT
5.2 & 5.3
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The Trigonometric Functions
SINECOSINE
TANGENT
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SINE
Pronounced “sign”
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Pronounced “co-sign”
COSINE
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Pronounced “tan-gent”
TANGENT
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Prounounced “theta”
Greek Letter q
Represents an unknown angle
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q
oppositehypotenuse
Sin OppHyp
Leg
adjacent
Cos AdjHyp
Leg
Tan OppAdj
Leg Leg
hypotenuseopposite
adjacent
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We need a way to remember all of these ratios…
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Old Hippie
SomeOldHippieCameAHoppin’ThroughOurApartment
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SOHCAHTOA
Old Hippie
SinOppHypCosAdjHypTanOppAdj
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Finding sin, cos, and tan.
(Just writing a ratio or decimal.)
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Find the sine, the cosine, and the tangent of angle A.Give a fraction and decimal answer (round to 4 places).
hypoppA sin
8.109
8333.
hypadjA cos
8.106
5556.
adjoppA tan
69
5.1
9
6
10.8
A
Shrink yourself down and stand where the angle is.
Now, figure out your ratios.
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Find the sine, the cosine, and the tangent of angle A
A
24.5
23.1
8.2
hypoppA sin
5.242.8
3347.
hypadjA cos
5.241.23
9429.
adjoppA tan
1.232.8
3550.
Give a fraction and decimal answer (round to 4 decimal places).
Shrink yourself down and stand where the angle is.Now, figure out your ratios.
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Finding a side.(Figuring out which ratio to use
and getting to use a trig button.)
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Ex: 1 Figure out which ratio to use. Find x. Round to the nearest tenth.
5520 m
x
20
55tan x
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.
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Ex: 2 Find the missing side. Round to the nearest tenth.
72
80 ft
x
x
8072tan
ft 26x
8072tan x
72tan80
x
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.
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Ex: 3 Find the missing side. Round to the nearest tenth.
24
283 mx 283
24sin x
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.
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Ex: 4 Find the missing side. Round to the nearest tenth.
4020 ft x
2040cos x
ft 3.15x
x40cos20
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Finding an angle.(Figuring out which ratio to use and getting
to use the 2nd button and one of the trig buttons.)
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Ex. 1: Find q. Round to four decimal places.
9
17.2
Make sure you are in degree mode (not radians).
92.17tan q
q
2nd tan 17.2 9
3789.62q
)
Shrink yourself down and stand where the angle is.Now, figure out which trig ratio you have and set up the problem.
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Ex. 2: Find q. Round to three decimal places.
23
7
Make sure you are in degree mode (not radians).
237cos qq
2nd cos 7 23
281.72q
)
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Ex. 3: Find q. Round to three decimal places.
400
200
Make sure you are in degree mode (not radians).
400200sin qq
2nd sin 200 400
30q)
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When we are trying to find a sidewe use sin, cos, or tan.
When we are trying to find an angle we use sin-1, cos-1, or tan-1.
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