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Trigonometry - Side Lengths from Variables (Level 1)

This math topic focuses on trigonometric relationships involving sides of a right triangle and their associations with the sine and tangent functions. Problems require identifying the correct trigonometric expressions for given sides (opposite, adjacent, hypotenuse) in relation to the sine or tangent of an angle. The task involves determining how sides of a triangle are defined in terms of these trigonometric ratios, ensuring a practical understanding of fundamental trigonometry concepts.

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

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Side Lengths from Variables

Complete these online problems with 80% or 4 correct answers in a row. Results are immediate.


Select the definition of this side in terms of Sine

Hypotenuse

Trigonometry - Side Lengths from Variables Worksheet

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Math worksheet on 'Trigonometry - Side Lengths from Variables (Level 1)'. Part of a broader unit on 'Trigonometry Foundations' Learn online: app.mobius.academy/math/units/trigonometry_foundations/
1
Select the definition of this side in terms of Tangent
Adjacent
a A LaTex expression showing tan over opp
b A LaTex expression showing tan multiplied by hyp
c A LaTex expression showing tan multiplied by opp
d A LaTex expression showing tan over adj
e A LaTex expression showing opp over tan
f A LaTex expression showing hyp over tan
2
Select the definition of this side in terms of Sine
Opposite
a A LaTex expression showing sin multiplied by adj
b A LaTex expression showing adj over sin
c A LaTex expression showing sin multiplied by opp
d A LaTex expression showing sin over opp
e A LaTex expression showing sin multiplied by hyp
f A LaTex expression showing hyp over sin
3
Select the definition of this side in terms of Sine
Hypotenuse
a A LaTex expression showing opp over sin
b A LaTex expression showing sin multiplied by adj
c A LaTex expression showing sin over adj
d A LaTex expression showing adj over sin
e A LaTex expression showing sin multiplied by opp
f A LaTex expression showing sin multiplied by hyp