Term
List three Pythagorean identities 

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 


Term

Definition
SOH: sin=opp/hyp CAH: cos=adj/hyp TOA: tan=opp/adj 


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


Term

Definition


Term
What kind of triangle can you use the law of sines with? 

Definition


Term
What triangles can you use the law of cosines with? 

Definition


Term
What is the law of cosines?
(for the side, and for the angle) 

Definition


Term
Acute SSA Triangle
OPP<HT how many triangles? 

Definition


Term
Acute SSA Triangle
OPP=HT How many triangles? 

Definition


Term
Acute SSA Triangle
HT<OPP<ADJ how many triangles? 

Definition
2 triangles when Ht<OPP<ADJ 


Term
Acute SSA Triangle
OPP >= ADJ how many triangles ? 

Definition
1 triangle when OPP>= ADJ 


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<HT
Obtuse:
OPP<=ADJ 


Term
List Cases where SSA triangles make 1 triangle
Acute:
Obtuse: 

Definition
Acute:
OPP=HT
OPP>=ADJ
Obtuse:
OPP>ADJ 


Term
List Cases when ssa triangles make 2 triangles
Acute:
Obtuse:


Definition
Acute:
Ht<OPP<Adj
Obtuse:
no cases 


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(sa)(sb)(sc)) 


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 

