wednesday, april 2nd
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Warm Up. Wednesday, April 2nd . 8 m. h. 30°. Find the height of the parallelogram 2. 57 Find the missing side length. 15 m. EOCT Week 12 #3. Friday April 4th. Right Triangle Quiz . Rest of the week. Today: Introduce trig ratios - PowerPoint PPT PresentationTRANSCRIPT
Wednesday, April 2nd
1. Find the height of the parallelogram
2. 5 7
Find the missing side length
WARM UP8 m.
15 m.
h30°
EOCT Week 12 #3
RIGHT TRIANGLE QUIZ
Friday April 4th
Rest of the weekToday: Introduce trig ratios
Thursday: Finding missing side lengths using trig and Review
Friday: Quiz
5520 m
x
1.What is different about this triangle than yesterday’s triangles?
2.What is the same? 3.How could we find x?
Trig Ratios
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
hypotenuse
opposite
adjacent
Trick to remember
SOHCAH TOA
Find the sine, the cosine, and the tangent of angle A.
Give a fraction.
hypoppAsin
8.109
hypadjAcos
8.106
adjoppAtan
69
32
9
6
10.8
A
Shrink yourself down and stand where the angle is.Now, figure out your
ratios.
Write the trigonometric ratio as a fraction and as a decimal rounded
to the nearest hundredth.Find sin J
Example 1
cos J
Write the trigonometric ratio as a fraction and as a decimal rounded to the nearest hundredth.
Example 2
tan K
Write the trigonometric ratio as a fraction and as a decimal rounded to the nearest hundredth.
Example 3
Find Sin A
Find Tangent B
Find Cosine A
Finding an angle.(Figuring out which ratio to use and an inverse trig button.)
111 tancossin
Ex: 1 Figure out which ratio to use. Find x. Round to the nearest tenth.
20 m
40 m
20tan40
q
26.6oq
1 20tan40
x
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 15sin
50q
17.5 oq
1 15sin50
x
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 q. Round to the nearest degree.
9
17.29
2.17tan q
q
62q
1 17.2tan 9 q
Ex. 4: Find q. Round to the nearest degree.
23
7
237cos qq
72q
1 7cos 23 q
Ex. 5: Find q. Round to the nearest degree.
400
200
400200sin q
q
30q
1 200sin 400 q
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.