Law of Sines & Cosines Quick Quiz

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Trig laws in action

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harold david guerrero de la cruz

Colombia

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Froggy Jumps Law of Sines & Cosines Quick QuizVersión en línea Trig laws in action por harold david guerrero de la cruz 1 1) Law of Sines states a/sin(A) = b/sin(B) = c/sin(C) = ? a a+b+c b 2R c R 2 2) When can you confidently use the Law of Sines to find a missing side? a Two sides and included angle b Two angles and a side c One angle and two sides 3 3) Law of Cosines helps find a side with which relation? a c^2 = a^2 + b^2 - 2ab cos(C) b a^2 = b^2 + c^2 c sin(C) = c/(a+b) 4 4) In a triangle with sides 5 and 7 and included angle 60°, the third side is? a √24 (≈4.90) b √19 (≈4.36) c √26 (≈5.10) 5 5) Using a = 8 opposite A = 30° and B = 40°, estimate b? a ≈6.40 b ≈10.28 c ≈12.50 6 6) Which case can give two different triangles for the same SSA data? a Ambiguous case b Definite case c Cosine-only case 7 7) If a triangle has known SSA, what common outcome may occur? a Exactly one triangle b No solution c Two possible triangles 8 8) Which law would you use for two sides and the included angle? a Law of Cosines b Pythagorean theorem c Law of Sines 9 9) When C is 90°, what does Law of Cosines reduce to? a c = a + b - 2√(ab) b a^2 = b^2 + c^2 c c^2 = a^2 + b^2 10 10) True or False: Knowing two sides and a non-included angle guarantees a unique solution? a Only for right triangles b True c False

Froggy Jumps

Law of Sines & Cosines Quick QuizVersión en línea

Trig laws in action

por harold david guerrero de la cruz

1) Law of Sines states a/sin(A) = b/sin(B) = c/sin(C) = ?

a+b+c

2) When can you confidently use the Law of Sines to find a missing side?

Two sides and included angle

Two angles and a side

One angle and two sides

3) Law of Cosines helps find a side with which relation?

c^2 = a^2 + b^2 - 2ab cos(C)

a^2 = b^2 + c^2

sin(C) = c/(a+b)

4) In a triangle with sides 5 and 7 and included angle 60°, the third side is?

√24 (≈4.90)

√19 (≈4.36)

√26 (≈5.10)

5) Using a = 8 opposite A = 30° and B = 40°, estimate b?

≈6.40

≈10.28

≈12.50

6) Which case can give two different triangles for the same SSA data?

Ambiguous case

Definite case

Cosine-only case

7) If a triangle has known SSA, what common outcome may occur?

Exactly one triangle

No solution

Two possible triangles

8) Which law would you use for two sides and the included angle?

Law of Cosines

Pythagorean theorem

Law of Sines

9) When C is 90°, what does Law of Cosines reduce to?

c = a + b - 2√(ab)

a^2 = b^2 + c^2

c^2 = a^2 + b^2

10) True or False: Knowing two sides and a non-included angle guarantees a unique solution?

Only for right triangles

True

False

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Law of Sines & Cosines Quick Quiz

Froggy Jumps

Sobre esta actividad

Creada por

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Law of Sines & Cosines Quick QuizVersión en línea

por harold david guerrero de la cruz

1) Law of Sines states a/sin(A) = b/sin(B) = c/sin(C) = ?

2) When can you confidently use the Law of Sines to find a missing side?

3) Law of Cosines helps find a side with which relation?

4) In a triangle with sides 5 and 7 and included angle 60°, the third side is?

5) Using a = 8 opposite A = 30° and B = 40°, estimate b?

6) Which case can give two different triangles for the same SSA data?

7) If a triangle has known SSA, what common outcome may occur?

8) Which law would you use for two sides and the included angle?

9) When C is 90°, what does Law of Cosines reduce to?

10) True or False: Knowing two sides and a non-included angle guarantees a unique solution?

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