Trigonometr

Ratio Manipulation (Level 2)

This math topic focuses on trigonometric ratio manipulation, specifically solving for unknown components in given trigonometric expressions. The problems involve manipulating ratios of sine, cosine, and tangent with respect to different sides of a triangle (opposite, adjacent, hypotenuse). The learners need to rearrange formulas to isolate specific terms, exemplifying foundational skills in trigonometry. This set of problems is categorized under a broader introduction to trigonometry fundamentals, aimed at enhancing understanding of basic trigonometric relationships and operations.

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

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Ratio Manipulation

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


Solve the fraction for the '?' in terms of the variables and reduce.

cos=?hypcos=\frac{?}{hyp}

?

Trigonometry - Ratio Manipulation Worksheet

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Math worksheet on 'Trigonometry - Ratio Manipulation (Level 2)'. Part of a broader unit on 'Trigonometry Fundamentals - Intro' Learn online: app.mobius.academy/math/units/trigonometry_fundamentals_intro/
1
Solve the fraction for the '?' in terms of the variables and reduce.
A LaTex expression showing cos=? over hyp
a A LaTex expression showing cos over hyp
b A LaTex expression showing cos times hyp
c A LaTex expression showing hyp over cos
2
Solve the fraction for the '?' in terms of the variables and reduce.
A LaTex expression showing tan = opp over ?
a A LaTex expression showing tan times opp
b A LaTex expression showing opp over tan
c A LaTex expression showing tan over opp
3
Solve the fraction for the '?' in terms of the variables and reduce.
A LaTex expression showing sin=? over hyp
a A LaTex expression showing sin over hyp
b A LaTex expression showing hyp over sin
c A LaTex expression showing sin times hyp
4
A LaTex expression showing cos = adj over ?
Solve the fraction for the '?' in terms of the variables and reduce.
a A LaTex expression showing cos times adj
b A LaTex expression showing adj over cos
5
Solve the fraction for the '?' in terms of the variables and reduce.
A LaTex expression showing sin = opp over ?
a A LaTex expression showing opp over sin
b A LaTex expression showing sin times opp
c A LaTex expression showing sin over opp
6
Solve the fraction for the '?' in terms of the variables and reduce.
A LaTex expression showing tan=? over adj
a A LaTex expression showing tan times adj
b A LaTex expression showing tan over adj
c A LaTex expression showing adj over tan