# Shared Flashcard Set

## Details

Solving Triangles
law of sines, cosines, triangles, sohcahtoa
21
Mathematics
11/19/2014

Term
 List three Pythagorean identities
Definition
 1. sin^2 Ɵ + cos^2 Ɵ =12. tan^2 Ɵ +1= sec^2 Ɵ3. cot^2 Ɵ +1= csc^2 Ɵ
Term
 what is SOH CAH TOA
Definition
Term
 What are the cofuntions? sin30= tan40= sec80=
Definition
 sin30=cos60 tan40=cot50 sec80=csc10
Term
 What is the angle of depression? What is the angle of elevation?
Definition
 [image]
Term
 What is the Law of sines
Definition
 [image]
Term
 What kind of triangle can you use the law of sines with?
Definition
 AAS, ASA, SSA
Term
 What triangles can you use the law of cosines with?
Definition
 SAS, SSS
Term
 What is the law of cosines? (for the side, and for the angle)
Definition
 [image]
Term
 Acute SSA Triangle OPP
Definition
 0 triangles when OPP
Term
 Acute SSA Triangle OPP=HT How many triangles?
Definition
 1 Triangle when OPP=HT
Term
 Acute SSA Triangle HT
Definition
 2 triangles when Ht
Term
 Acute SSA Triangle  OPP >= ADJ how many triangles ?
Definition
Term
 Obtuse SSA Triangle OPP<=ADJ how many triangles?
Definition
Term
 Obtuse SSA triangle OPP>Adj How many triangles?
Definition
Term
 List cases where SSA triangles make 0 triangles acute: obtuse:
Definition
 Acute: OPP
Term
 List Cases where SSA triangles make 1 triangle Acute: Obtuse:
Definition
Term
 List Cases when ssa triangles make 2 triangles Acute: Obtuse:
Definition
 Acute:  Ht
Term
 List formulas needed for an SAS triangle to find Area
Definition
 A=1/2 abSinC =1/2 acSinB =1/2bcSinA
Term
 List formulas needed for an SSS triangle to find area
Definition
 s=1/2 (a+b+c) A=sqrt(s(s-a)(s-b)(s-c))
Term
 Given: triangle A=19 a=25 c=30 Find C   List the steps to solve this problem:
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
Term
 Given: Triangle B=34, b=3, a=4 c?   List the steps to solve this problem:
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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