6. Triangle Trigonometry Flashcards by Max Kessler

Q

sinθ =

cosθ =

tanθ =

A

opp/hyp

adj/hyp

opp/adj

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Q

cotθ =

secθ =

cscθ =

A

adj/hyp

hyp/adj

hyp/opp

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Q

45°-45°-90° Triangle

A

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Q

30°-60°-90° Triangle

A

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Q

Law of Sines

A

sinA/a = sinB/b =sinC/c

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Q

Law of Cosines

A

a² = b² + c² – 2bc cosA

b² = a² + c² – 2ac cosB

c² = a² + b² – 2ab cosC

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Q

If a < h…

A

there is no triangle.

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Q

If a > b…

A

there is one (obtuse) triangle.

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Q

If a > h but a < b…

A

there are two possible triangles: ∆ABC and ∆AB’C

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Q

Area of ∆ABC

A

1/2 bc • sinA

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