Calculating Ratios from Angles (Level 1)

This math topic focuses on calculating trigonometric ratios for specific angles, an advanced component of trigonometry fundamentals. Questions require determining the sine, cosine, or tangent of angles given in degrees, such as determining \( \tan(48^\circ) \), \( \sin(69^\circ) \), \( \cos(36^\circ), \) etc. Each question presents multiple choice answers, from which the correct trigonometric value must be selected. These problems help in understanding how to connect angle measures with their respective trigonometric ratios, vital for deeper study in trigonometry.

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

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Trigonometry - Calculating Ratios from Angles Worksheet

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Math worksheet on 'Trigonometry - Calculating Ratios from Angles (Level 1)'. Part of a broader unit on 'Trigonometry - Solving Triangles - Intro' Learn online: app.mobius.academy/math/units/trigonometry_solving_triangles_intro/
1
Calculate the trigonometric ratio of the given angle (in degrees)
A LaTex expression showing \text{cos}(83 to the power of circle ) = ?
a
0.814
b
0.122
c
0.641
d
0.57
e
0.468
f
0.051
2
Calculate the trigonometric ratio of the given angle (in degrees)
A LaTex expression showing \text{cos}(42 to the power of circle ) = ?
a
0.916
b
1.262
c
1.435
d
0.743
e
1.089
f
0.57
3
Calculate the trigonometric ratio of the given angle (in degrees)
A LaTex expression showing \text{tan}(72 to the power of circle ) = ?
a
3.251
b
2.386
c
3.77
d
2.732
e
2.905
f
3.078
4
Calculate the trigonometric ratio of the given angle (in degrees)
A LaTex expression showing \text{cos}(22 to the power of circle ) = ?
a
0.581
b
0.927
c
1.273
d
1.446
e
1.1
f
0.754
5
Calculate the trigonometric ratio of the given angle (in degrees)
A LaTex expression showing \text{tan}(81 to the power of circle ) = ?
a
6.314
b
6.141
c
7.006
d
6.487
e
6.833
f
5.795
6
Calculate the trigonometric ratio of the given angle (in degrees)
A LaTex expression showing \text{tan}(57 to the power of circle ) = ?
a
1.886
b
1.367
c
2.232
d
1.021
e
1.54
f
0.848
7
Calculate the trigonometric ratio of the given angle (in degrees)
A LaTex expression showing \text{sin}(40 to the power of circle ) = ?
a
0.47
b
0.297
c
0.643
d
0.049
e
1.335
f
1.162