Algebra 2 Ch. 12

Right Triangle Sine

Sin = opp/hyp
Right Triangle Cos

Cos = adj/hyp
Right Triangle Tan

Tan = Opp/Adj
Right Triangle Cosecant

csc = hyp/opp
Right Triangle secant

sec = hyp/adj
Right Triangle cotangent

cot = adj/opp
Degrees to Radian

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Radian to Degree

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Arc Length

S=r⊖
Angle Pythagorean Theorem
Height (h) for Area of a Triangle

c sin A
Area of Triangle

A = 1/2 b(c sin A)
Law of Sines

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Angle sin

sin=y/r
Angle cos

cos=x/r
Angle tan

tan=y/x
Angle cosecant

csc = r/y
Angle cosine

sec=r/x
Angle cotangent

cot = x/y
<A Acute

a<h

no solution
<A Acute

a=h

1 solution
<A Acute

h<a<b

2 solution
<A Acute

a >= b

1 solution
<A Obtuse

a<b

no solution
<A Obtuse

a>b

1 solution
Law of cosines
- a² = b² + c² - 2bc cos A
- b² = a² + c² - 2ac cos B
- c² = a² + b² - 2ab cos C