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

This math topic focuses on identifying trigonometric relationships involving sine, cosine, and tangent from given fact families. It covers the fundamental properties of ratios of sides in right-angled triangles (opposite, adjacent, hypotenuse) and their application in formulating correct trigonometric expressions. The problems require understanding and selecting the correct trigonometric formulas that represent the relationships discussed. These exercises serve as an introduction to trigonometry fundamentals, enhancing students' ability to decode and use trigonometric identities effectively.

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

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

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Which trigonometry fact comes from this fact family

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

Math worksheet on 'Fact Family - Sin/Cos/Tan - Triangle to Fact (Level 1)'. Part of a broader unit on 'Trigonometry Fundamentals - Practice' Learn online: app.mobius.academy/math/units/trigonometry_fundamentals_practice/

Which trigonometry fact comes from this fact family

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a $A LaTex expression showing \text{tan} = \frac{\text{adj}}{\text{opp}}$

b $A LaTex expression showing \text{opp} = \frac{\text{tan}}{\text{adj}}$

c $A LaTex expression showing \text{tan} = \frac{\text{opp}}{\text{adj}}$

Which trigonometry fact comes from this fact family

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a $A LaTex expression showing \text{hyp} = \frac{\text{cos}}{\text{adj}}$

b $A LaTex expression showing \text{hyp} = \frac{\text{adj}}{\text{cos}}$

c $A LaTex expression showing \text{adj} = \frac{\text{hyp}}{\text{cos}}$

Which trigonometry fact comes from this fact family

An svg image showing a math problem

a $A LaTex expression showing \text{opp} = \frac{\text{tan}}{\text{adj}}$

b $A LaTex expression showing \text{tan} = \frac{\text{adj}}{\text{opp}}$

c $A LaTex expression showing \text{tan} = \frac{\text{opp}}{\text{adj}}$

Which trigonometry fact comes from this fact family

An svg image showing a math problem

a $A LaTex expression showing \text{cos} = \frac{\text{adj}}{\text{hyp}}$

b $A LaTex expression showing \text{cos} = \frac{\text{hyp}}{\text{adj}}$

c $A LaTex expression showing \text{adj} = \frac{\text{cos}}{\text{hyp}}$

Which trigonometry fact comes from this fact family

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a $A LaTex expression showing \text{sin} times \text{hyp} = \text{opp}$

b $A LaTex expression showing \text{opp} times \text{hyp} = \text{sin}$

c $A LaTex expression showing \text{sin} times \text{opp} = \text{hyp}$

Which trigonometry fact comes from this fact family

An svg image showing a math problem

a $A LaTex expression showing \text{hyp} = \frac{\text{sin}}{\text{opp}}$

b $A LaTex expression showing \text{opp} = \frac{\text{hyp}}{\text{sin}}$

c $A LaTex expression showing \text{hyp} = \frac{\text{opp}}{\text{sin}}$

Which trigonometry fact comes from this fact family

An svg image showing a math problem

a $A LaTex expression showing \text{opp} times \text{tan} = \text{adj}$

b $A LaTex expression showing \text{adj} times \text{opp} = \text{tan}$

c $A LaTex expression showing \text{adj} times \text{tan} = \text{opp}$