Trigonometr

Side Lengths from Variables and Identity (Level 1)

This math topic focuses on foundational trigonometry concepts involving side lengths and trigonometric identities. It includes problems where students must identify the relationships between sides of a triangle using sine, cosine, and tangent functions. The problems require selecting the correct trigonometric expression for given sides such as opposite, adjacent, or hypotenuse based on the provided trigonometric ratio. This forms a crucial part of understanding how to manipulate and use trigonometric identities and ratios to solve problems involving right-angled triangles.

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

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Side Lengths from Variables and Identity

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 Tangent

What\;is\;opp?\\\\tan = \frac{opp}{adj}

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Trigonometry - Side Lengths from Variables and Identity Worksheet

Math worksheet on 'Trigonometry - Side Lengths from Variables and Identity (Level 1)'. Part of a broader unit on 'Trigonometry Foundations' Learn online: app.mobius.academy/math/units/trigonometry_foundations/

Select the definition of this side in terms of Tangent

$A LaTex expression showing What\;is\;adj?\\\\tan = opp over adj$

A LaTex expression showing tan over opp

A LaTex expression showing tan multiplied by hyp

A LaTex expression showing hyp over tan

A LaTex expression showing opp over tan

A LaTex expression showing tan multiplied by opp

A LaTex expression showing tan over adj

Select the definition of this side in terms of Sine

$A LaTex expression showing What\;is\;opp?\\\\sin = opp over hyp$

A LaTex expression showing sin over adj

A LaTex expression showing adj over sin

A LaTex expression showing sin over hyp

A LaTex expression showing hyp over sin

A LaTex expression showing sin multiplied by adj

A LaTex expression showing sin multiplied by hyp

Select the definition of this side in terms of Sine

$A LaTex expression showing What\;is\;hyp?\\\\sin = opp over hyp$

A LaTex expression showing sin over adj

A LaTex expression showing sin over hyp

A LaTex expression showing sin over opp

A LaTex expression showing opp over sin

A LaTex expression showing sin multiplied by opp

A LaTex expression showing sin multiplied by adj

Select the definition of this side in terms of Cosine

$A LaTex expression showing What\;is\;adj?\\\\cos = adj over hyp$

A LaTex expression showing hyp over cos

A LaTex expression showing cos over opp

A LaTex expression showing cos multiplied by opp

A LaTex expression showing cos multiplied by hyp

A LaTex expression showing opp over cos

A LaTex expression showing cos over adj

Select the definition of this side in terms of Tangent

$A LaTex expression showing What\;is\;opp?\\\\tan = opp over adj$

A LaTex expression showing tan multiplied by hyp

A LaTex expression showing hyp over tan

A LaTex expression showing tan multiplied by opp

A LaTex expression showing tan multiplied by adj

A LaTex expression showing adj over tan

A LaTex expression showing tan over adj

Select the definition of this side in terms of Cosine

$A LaTex expression showing What\;is\;hyp?\\\\cos = adj over hyp$

A LaTex expression showing cos multiplied by adj

A LaTex expression showing opp over cos

A LaTex expression showing cos over hyp

A LaTex expression showing cos over opp

A LaTex expression showing cos multiplied by opp

A LaTex expression showing adj over cos