Law Of Sines Flashcards Preview

Algebra 2 > Law Of Sines > Flashcards

Flashcards in Law Of Sines Deck (28):
1

Law of sins

Sin (A)/ a
Sin angle/ side

2

How to find h

H= adj (sin angle)

3

SSA
obtuse
Opp>other

One triangle

4

SSA solving for h

H=opp one right triangle
H>opp no triangle
H less then opp and other
Two triangles

5

Area of triangle

Area= 1/2(sin angle)( other sides)

6

When to use law of cosines

SSS
SAS

7

Law of cosines

Law of cosines
a^2= b^2+c^2-2(b)(c)(cos A)

8

When solving SSS

Find the angle opposite of longest side with law of cos

9

How to find semiperimeter

s= a+b+c/2

10

Area of triangle when only have SSS

A=\| s(s-a)(s-b)(s-c)
s=a+b+c/2

11

SSA
Obtuse
Opp less than other

No triangle

11

SSA
Acute
Opp>other

One triangle

12

SSA
Acute
Opp less than other

Solve for h

13

Reciprocal identity
Sin Ø

1/csc Ø

14

Reciprocal identity
Cos Ø

1/sec Ø

15

Reciprocal identity
Tan Ø

1/cot Ø

16

Reciprocal identity
Csc Ø

1/sin Ø

17

Reciprocal identity
Sec Ø

1/cos Ø

18

Reciprocal identity
Cot Ø

1/tan Ø

19

Pythagorean identities
Tan sec

1+ tan^2Ø= sec^2Ø

20

Pythagorean identity
Cot csc

1+ cot^2Ø= csc^2 Ø

21

Conjunction identities
Sin

Sin(pie/2-ø)=cos Ø

22

Conjunction identities
Csc

Csc(pie/2-ø)=sec Ø

23

Confunction identities
Tan

Tan(pie/2-ø)=cot Ø

24

Confunction identities
Cos

Cos(pie/2-ø)=sin Ø

25

Confunction identities
Sec

Sec(pie/2-ø)=csc Ø

26

Confunction identities
Cot

Cot(pie/2-ø)=tan Ø

27

Which angles negative
(-Ø)aren't negative

Cos (-Ø)= cos
Sec (-Ø)= sec