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| List three Pythagorean identities |
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Definition
1. sin^2 Ɵ + cos^2 Ɵ =1
2. tan^2 Ɵ +1= sec^2 Ɵ
3. cot^2 Ɵ +1= csc^2 Ɵ |
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Term
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Definition
SOH: sin=opp/hyp
CAH: cos=adj/hyp
TOA: tan=opp/adj |
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Term
| What are the cofuntions? sin30= tan40= sec80= |
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Definition
| sin30=cos60 tan40=cot50 sec80=csc10 |
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Term
| What is the angle of depression? What is the angle of elevation? |
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Definition
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Term
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Definition
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Term
| What kind of triangle can you use the law of sines with? |
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Definition
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Term
| What triangles can you use the law of cosines with? |
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Definition
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Term
What is the law of cosines?
(for the side, and for the angle) |
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Definition
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Term
Acute SSA Triangle
OPP<HT how many triangles? |
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Definition
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Term
Acute SSA Triangle
OPP=HT How many triangles? |
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Definition
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Term
Acute SSA Triangle
HT<OPP<ADJ how many triangles? |
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Definition
| 2 triangles when Ht<OPP<ADJ |
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Term
Acute SSA Triangle
OPP >= ADJ how many triangles ? |
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Definition
| 1 triangle when OPP>= ADJ |
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Term
Obtuse SSA Triangle
OPP<=ADJ how many triangles? |
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Definition
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Term
Obtuse SSA triangle
OPP>Adj How many triangles? |
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Definition
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Term
List cases where SSA triangles make 0 triangles
acute:
obtuse:
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Definition
Acute:
OPP<HT
Obtuse:
OPP<=ADJ |
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Term
List Cases where SSA triangles make 1 triangle
Acute:
Obtuse: |
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Definition
Acute:
OPP=HT
OPP>=ADJ
Obtuse:
OPP>ADJ |
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Term
List Cases when ssa triangles make 2 triangles
Acute:
Obtuse:
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Definition
Acute:
Ht<OPP<Adj
Obtuse:
no cases |
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Term
| List formulas needed for an SAS triangle to find Area |
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Definition
A=1/2 abSinC
=1/2 acSinB
=1/2bcSinA |
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Term
| List formulas needed for an SSS triangle to find area |
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Definition
s=1/2 (a+b+c)
A=sqrt(s(s-a)(s-b)(s-c)) |
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Term
Given: triangle A=19 a=25 c=30 Find C
List the steps to solve this problem: |
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Definition
1. (optional) draw the triangle and determine what kind of triangle it is (SSA)
2. Solve for height using SOHCAHTOA
3. Determine how many triangles you have using the height (2)
4.use the law of sines to find C1
5. subtract C1 from 180 to find C2 |
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Term
Given: Triangle B=34, b=3, a=4 c?
List the steps to solve this problem: |
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Definition
1. (Optional) Draw the triangle and determine the type of triangle (SSA)
2. Calculate height using SOHCAHTOA to determine the number of triangles (2)
3. Use the law of sines to solve angle A
4. Subtract angle A and Angle B from 180 to find Angle C
5. Use the law of sines to find c1
6. Subtract angle A from 180 to find the new angle A
7. Subtract the new angle A and Angle B from 180 to find angle C
8. Use the law of sines to find c2 |
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