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.

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Trigonometry - Side Lengths from Variables Worksheet

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Trigonometry - Side Lengths from Variables
1
Select the definition of this side in terms of Cosine
Adjacent
a A LaTex expression showing cos over hyp
b A LaTex expression showing cos multiplied by opp
c A LaTex expression showing cos over adj
d A LaTex expression showing hyp over cos
e A LaTex expression showing cos multiplied by hyp
f A LaTex expression showing cos multiplied by adj
2
Select the definition of this side in terms of Tangent
Opposite
a A LaTex expression showing tan over hyp
b A LaTex expression showing tan multiplied by hyp
c A LaTex expression showing adj over tan
d A LaTex expression showing hyp over tan
e A LaTex expression showing tan multiplied by adj
f A LaTex expression showing tan over opp
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 hyp
c A LaTex expression showing adj over sin
d A LaTex expression showing sin multiplied by adj
e A LaTex expression showing sin multiplied by opp
f A LaTex expression showing sin over adj