Download - Wednesday, April 2nd
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Wednesday, April 2nd
1. Find the height of the parallelogram
2. 5 7
Find the missing side length
WARM UP8 m.
15 m.
h30°
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EOCT Week 12 #3
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RIGHT TRIANGLE QUIZ
Friday April 4th
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Rest of the weekToday: Introduce trig ratios
Thursday: Finding missing side lengths using trig and Review
Friday: Quiz
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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?
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Trig Ratios
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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
hypotenuse
opposite
adjacent
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Trick to remember
SOHCAH TOA
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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.
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Write the trigonometric ratio as a fraction and as a decimal rounded
to the nearest hundredth.Find sin J
Example 1
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cos J
Write the trigonometric ratio as a fraction and as a decimal rounded to the nearest hundredth.
Example 2
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tan K
Write the trigonometric ratio as a fraction and as a decimal rounded to the nearest hundredth.
Example 3
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Find Sin A
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Find Tangent B
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Find Cosine A
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Finding an angle.(Figuring out which ratio to use and an inverse trig button.)
111 tancossin
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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
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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
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Ex. 3: Find q. Round to the nearest degree.
9
17.29
2.17tan q
q
62q
1 17.2tan 9 q
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Ex. 4: Find q. Round to the nearest degree.
23
7
237cos qq
72q
1 7cos 23 q
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Ex. 5: Find q. Round to the nearest degree.
400
200
400200sin q
q
30q
1 200sin 400 q
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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.