Trigonometry - Calculating Angles from Ratios (Words) (Level 1) - Mobius Math Academy

Calculating Angles from Ratios (Words) (Level 1)

This math topic focuses on trigonometry, specifically teaching students how to calculate angles from given trigonometric ratios using cosine (cos), sine (sin), and tangent (tan). The problems are structured to help students identify angles using algebraic expressions presented with each trigonometric function's value. Possible answers for each question are listed with varying angle degrees, challenging students to correctly apply trigonometric concepts to find the appropriate angle. This is an introductory level module suitable as an early exploration into the fundamentals of trigonometry.

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

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Trigonometry - Calculating Angles from Ratios (Words) Worksheet

Math worksheet on 'Trigonometry - Calculating Angles from Ratios (Words) (Level 1)'. Part of a broader unit on 'Trigonometry - Solving Triangles - Intro' Learn online: app.mobius.academy/math/units/trigonometry_solving_triangles_intro/

Calculate the angle in degrees

$A LaTex expression showing \alpha\text{ has a tan of }4.705$

a $A LaTex expression showing \alpha=78 to the power of circle$

b $A LaTex expression showing \alpha=83 to the power of circle$

c $A LaTex expression showing \alpha=58 to the power of circle$

d $A LaTex expression showing \alpha=73 to the power of circle$

e $A LaTex expression showing \alpha=63 to the power of circle$

f $A LaTex expression showing \alpha=88 to the power of circle$

Calculate the angle in degrees

$A LaTex expression showing \alpha\text{ has a cos of }0.035$

a $A LaTex expression showing \alpha=108 to the power of circle$

b $A LaTex expression showing \alpha=93 to the power of circle$

c $A LaTex expression showing \alpha=73 to the power of circle$

d $A LaTex expression showing \alpha=98 to the power of circle$

e $A LaTex expression showing \alpha=83 to the power of circle$

f $A LaTex expression showing \alpha=88 to the power of circle$

Calculate the angle in degrees

$A LaTex expression showing \alpha\text{ has a tan of }2.356$

a $A LaTex expression showing \alpha=67 to the power of circle$

b $A LaTex expression showing \alpha=82 to the power of circle$

c $A LaTex expression showing \alpha=57 to the power of circle$

d $A LaTex expression showing \alpha=62 to the power of circle$

e $A LaTex expression showing \alpha=72 to the power of circle$

f $A LaTex expression showing \alpha=87 to the power of circle$

Calculate the angle in degrees

$A LaTex expression showing \alpha\text{ has a cos of }0.407$

a $A LaTex expression showing \alpha=66 to the power of circle$

b $A LaTex expression showing \alpha=56 to the power of circle$

c $A LaTex expression showing \alpha=46 to the power of circle$

d $A LaTex expression showing \alpha=51 to the power of circle$

e $A LaTex expression showing \alpha=86 to the power of circle$

f $A LaTex expression showing \alpha=71 to the power of circle$

Calculate the angle in degrees

$A LaTex expression showing \alpha\text{ has a tan of }1.664$

a $A LaTex expression showing \alpha=64 to the power of circle$

b $A LaTex expression showing \alpha=79 to the power of circle$

c $A LaTex expression showing \alpha=69 to the power of circle$

d $A LaTex expression showing \alpha=44 to the power of circle$

e $A LaTex expression showing \alpha=59 to the power of circle$

f $A LaTex expression showing \alpha=74 to the power of circle$

Calculate the angle in degrees

$A LaTex expression showing \alpha\text{ has a cos of }0.629$

a $A LaTex expression showing \alpha=61 to the power of circle$

b $A LaTex expression showing \alpha=51 to the power of circle$

c $A LaTex expression showing \alpha=36 to the power of circle$

d $A LaTex expression showing \alpha=46 to the power of circle$

e $A LaTex expression showing \alpha=56 to the power of circle$

f $A LaTex expression showing \alpha=66 to the power of circle$

Calculate the angle in degrees

$A LaTex expression showing \alpha\text{ has a sin of }0.961$

a $A LaTex expression showing \alpha=69 to the power of circle$

b $A LaTex expression showing \alpha=89 to the power of circle$

c $A LaTex expression showing \alpha=74 to the power of circle$

d $A LaTex expression showing \alpha=84 to the power of circle$

e $A LaTex expression showing \alpha=54 to the power of circle$

f $A LaTex expression showing \alpha=64 to the power of circle$