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Trigonometry - Approximating Identities in Decimal from Diagrams (Level 1)

This math topic focuses on trigonometric skills, specifically visually approximating the values of the sine, cosine, and tangent of given angles based on diagrams. Each question presents an angle in a diagram form and asks the learner to select the best trigonometric decimal approximation from multiple choices. These problems are introductory and aim to enhance the student’s ability to connect geometric representations of angles with their trigonometric values. This is part of a broader unit on the fundamentals of trigonometry.

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

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Approximating Identities in Decimal from Diagrams

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Visually approximate the Cosine of the given angle

30 degha

Trigonometry - Approximating Identities in Decimal from Diagrams Worksheet

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Math worksheet on 'Trigonometry - Approximating Identities in Decimal from Diagrams (Level 1)'. Part of a broader unit on 'Trigonometry Fundamentals - Practice' Learn online: app.mobius.academy/math/units/trigonometry_fundamentals_practice/
1
Visually approximate the Sine of the given angle
An svg image showing a math problem
a A LaTex expression showing sin(45) = 0.44
b A LaTex expression showing sin(45) = 1.02
c A LaTex expression showing sin(45) = 0.98
d A LaTex expression showing sin(45) = 0.71
e A LaTex expression showing sin(45) = 0.39
f A LaTex expression showing sin(45) = 51.00
2
Visually approximate the Tangent of the given angle
An svg image showing a math problem
a A LaTex expression showing tan(40) = 49.69
b A LaTex expression showing tan(40) = 0.62
c A LaTex expression showing tan(40) = 0.84
d A LaTex expression showing tan(40) = 1.11
e A LaTex expression showing tan(40) = 40.61
f A LaTex expression showing tan(40) = 1.07
3
Visually approximate the Sine of the given angle
An svg image showing a math problem
a A LaTex expression showing sin(40) = 0.33
b A LaTex expression showing sin(40) = 0.50
c A LaTex expression showing sin(40) = 0.64
d A LaTex expression showing sin(40) = 1.55
e A LaTex expression showing sin(40) = 0.37
f A LaTex expression showing sin(40) = 0.28
4
Visually approximate the Cosine of the given angle
An svg image showing a math problem
a A LaTex expression showing cos(35) = 0.59
b A LaTex expression showing cos(35) = 1.04
c A LaTex expression showing cos(35) = 84.48
d A LaTex expression showing cos(35) = 0.46
e A LaTex expression showing cos(35) = 0.82
f A LaTex expression showing cos(35) = 0.50
5
An svg image showing a math problem
Visually approximate the Sine of the given angle
a A LaTex expression showing sin(30) = 54.08
b A LaTex expression showing sin(30) = 0.50
c A LaTex expression showing sin(30) = 107.47
d A LaTex expression showing sin(30) = 0.14
e A LaTex expression showing sin(30) = 26.47
f A LaTex expression showing sin(30) = 0.82
6
Visually approximate the Cosine of the given angle
An svg image showing a math problem
a A LaTex expression showing cos(40) = 1.08
b A LaTex expression showing cos(40) = 0.54
c A LaTex expression showing cos(40) = 0.77
d A LaTex expression showing cos(40) = 0.41
e A LaTex expression showing cos(40) = 0.99
f A LaTex expression showing cos(40) = 0.50
7
Visually approximate the Sine of the given angle
An svg image showing a math problem
a A LaTex expression showing sin(40) = 0.42
b A LaTex expression showing sin(40) = 0.28
c A LaTex expression showing sin(40) = 2.24
d A LaTex expression showing sin(40) = 0.96
e A LaTex expression showing sin(40) = 0.64
f A LaTex expression showing sin(40) = 1.23