Law Of Sines Flashcards

1
Q

Law of sins

A

Sin (A)/ a

Sin angle/ side

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2
Q

How to find h

A

H= adj (sin angle)

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3
Q

SSA
obtuse
Opp>other

A

One triangle

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4
Q

SSA solving for h

A

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

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5
Q

Area of triangle

A

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

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6
Q

When to use law of cosines

A

SSS

SAS

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7
Q

Law of cosines

A

Law of cosines

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

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8
Q

When solving SSS

A

Find the angle opposite of longest side with law of cos

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9
Q

How to find semiperimeter

A

s= a+b+c/2

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10
Q

Area of triangle when only have SSS

A

A=| s(s-a)(s-b)(s-c)

s=a+b+c/2

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11
Q

SSA
Obtuse
Opp less than other

A

No triangle

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11
Q

SSA
Acute
Opp>other

A

One triangle

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12
Q

SSA
Acute
Opp less than other

A

Solve for h

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13
Q

Reciprocal identity

Sin Ø

A

1/csc Ø

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14
Q

Reciprocal identity

Cos Ø

A

1/sec Ø

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15
Q

Reciprocal identity

Tan Ø

A

1/cot Ø

16
Q

Reciprocal identity

Csc Ø

A

1/sin Ø

17
Q

Reciprocal identity

Sec Ø

A

1/cos Ø

18
Q

Reciprocal identity

Cot Ø

A

1/tan Ø

19
Q

Pythagorean identities

Tan sec

A

1+ tan^2Ø= sec^2Ø

20
Q

Pythagorean identity

Cot csc

A

1+ cot^2Ø= csc^2 Ø

21
Q

Conjunction identities

Sin

A

Sin(pie/2-ø)=cos Ø

22
Q

Conjunction identities

Csc

A

Csc(pie/2-ø)=sec Ø

23
Q

Confunction identities

Tan

A

Tan(pie/2-ø)=cot Ø

24
Q

Confunction identities

Cos

A

Cos(pie/2-ø)=sin Ø

25
Q

Confunction identities

Sec

A

Sec(pie/2-ø)=csc Ø

26
Q

Confunction identities

Cot

A

Cot(pie/2-ø)=tan Ø

27
Q

Which angles negative

(-Ø)aren’t negative

A

Cos (-Ø)= cos

Sec (-Ø)= sec