Find the missing measures. Write all answers in radical form .
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Find the missing measures. Write all answers in radical form . 60 ° 30° 10 y z Warm – up 3 45 y 60 30 x 45 2 3 3 3 y x 5 3 5 y z
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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 Presentation
Transcript of Find the missing measures. Write all answers in radical form .
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
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
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.
The Trigonometric Functions we will be
looking at
SINECOSINE
TANGENT
5.2 & 5.3
The Trigonometric Functions
SINECOSINE
TANGENT
SINE
Pronounced “sign”
Pronounced “co-sign”
COSINE
Pronounced “tan-gent”
TANGENT
Prounounced “theta”
Greek Letter q
Represents an unknown angle
q
oppositehypotenuse
Sin OppHyp
Leg
adjacent
Cos AdjHyp
Leg
Tan OppAdj
Leg Leg
hypotenuseopposite
adjacent
We need a way to remember all of these ratios…
Old Hippie
SomeOldHippieCameAHoppin’ThroughOurApartment
SOHCAHTOA
Old Hippie
SinOppHypCosAdjHypTanOppAdj
Finding sin, cos, and tan.
(Just writing a ratio or decimal.)
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.
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.
Finding a side.(Figuring out which ratio to use
and getting to use a trig button.)
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.
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.
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.
Ex: 4 Find the missing side. Round to the nearest tenth.
4020 ft x
2040cos x
ft 3.15x
x40cos20
Finding an angle.(Figuring out which ratio to use and getting
to use the 2nd button and one of the trig buttons.)
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.
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
)
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)
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.
