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Fact Family - Sin/Cos/Tan - Fact to Triangle (Level 1)

This math topic focuses on the trigonometric relationships involving sine, cosine, and tangent functions within triangles. It enhances the understanding of how these trigonometric ratios relate the sides of a right triangle to its angles. Problems include determining the appropriate right triangle that corresponds to given trigonometric facts. For instance, students identify which triangle configuration supports expressions like sin = opp/hyp, hyp = opp/sin, and tan * adj = opp. This topic fits within an introductory unit on trigonometry fundamentals, providing foundational knowledge in using trigonometric ratios to solve for unknowns in triangle geometry.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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Fact Family - Sin/Cos/Tan - Fact to Triangle

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What fact family triangle would give this trigonometry fact?

sinâ‹…hyp=opp\text{sin} \cdot \text{hyp} = \text{opp}

Fact Family - Sin/Cos/Tan - Fact to Triangle Worksheet

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Math worksheet on 'Fact Family - Sin/Cos/Tan - Fact to Triangle (Level 1)'. Part of a broader unit on 'Trigonometry Fundamentals - Practice' Learn online: app.mobius.academy/math/units/trigonometry_fundamentals_practice/
1
A LaTex expression showing \text{cos} times \text{hyp} = \text{adj}
What fact family triangle would give this trigonometry fact?
a An svg image showing a possible answer to this math problem
b An svg image showing a possible answer to this math problem
2
A LaTex expression showing \text{hyp} = \frac{\text{opp}}{\text{sin}}
What fact family triangle would give this trigonometry fact?
a An svg image showing a possible answer to this math problem
b An svg image showing a possible answer to this math problem
3
A LaTex expression showing \text{adj} = \frac{\text{opp}}{\text{tan}}
What fact family triangle would give this trigonometry fact?
a An svg image showing a possible answer to this math problem
b An svg image showing a possible answer to this math problem
4
A LaTex expression showing \text{tan} times \text{adj} = \text{opp}
What fact family triangle would give this trigonometry fact?
a An svg image showing a possible answer to this math problem
b An svg image showing a possible answer to this math problem
5
A LaTex expression showing \text{hyp} times \text{sin} = \text{opp}
What fact family triangle would give this trigonometry fact?
a An svg image showing a possible answer to this math problem
b An svg image showing a possible answer to this math problem
6
A LaTex expression showing \text{sin} = \frac{\text{opp}}{\text{hyp}}
What fact family triangle would give this trigonometry fact?
a An svg image showing a possible answer to this math problem
b An svg image showing a possible answer to this math problem
7
A LaTex expression showing \text{sin} times \text{hyp} = \text{opp}
What fact family triangle would give this trigonometry fact?
a An svg image showing a possible answer to this math problem
b An svg image showing a possible answer to this math problem