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Trigonometry, Unit Circle Negative Angles Identity - Cos/Sin to Identity (Degrees)

Level 1

This math topic focuses on understanding and identifying properties of trigonometric functions—specifically the sine and cosine of negative angles. The questions require determining the correct relationship between the sine or cosine of a negative angle and its positive counterpart. This involves knowledge of the trigonometric identities related to the unit circle and the properties specific to angles measured in degrees. Each question presents a different angle, asking whether its sine or cosine equals or has the opposite sign of the sine or cosine of its positive counterpart.

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

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Trigonometry, Unit Circle Negative Angles Identity - Cos/Sin to Identity (Degrees) Worksheet

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Trigonometry, Unit Circle Negative Angles Identity - Cos/Sin to Ident...
1
An svg image showing a math problem
What is true about the cosine of this negative angle?
a A LaTex expression showing \text{cos}(-30 to the power of circle ) = -\text{cos}(30 to the power of circle )
b A LaTex expression showing \text{cos}(-30 to the power of circle ) = \text{cos}(30 to the power of circle )
2
An svg image showing a math problem
What is true about the cosine of this negative angle?
a A LaTex expression showing \text{cos}(-45 to the power of circle ) = \text{cos}(45 to the power of circle )
b A LaTex expression showing \text{cos}(-45 to the power of circle ) = -\text{cos}(45 to the power of circle )
3
An svg image showing a math problem
What is true about the cosine of this negative angle?
a A LaTex expression showing \text{cos}(-135 to the power of circle ) = -\text{cos}(135 to the power of circle )
b A LaTex expression showing \text{cos}(-135 to the power of circle ) = \text{cos}(135 to the power of circle )
4
An svg image showing a math problem
What is true about the sine of this negative angle?
a A LaTex expression showing \text{sin}(-30 to the power of circle ) = -\text{sin}(30 to the power of circle )
b A LaTex expression showing \text{sin}(-30 to the power of circle ) = \text{sin}(30 to the power of circle )
5
An svg image showing a math problem
What is true about the sine of this negative angle?
a A LaTex expression showing \text{sin}(-135 to the power of circle ) = -\text{sin}(135 to the power of circle )
b A LaTex expression showing \text{sin}(-135 to the power of circle ) = \text{sin}(135 to the power of circle )
6
An svg image showing a math problem
What is true about the sine of this negative angle?
a A LaTex expression showing \text{sin}(-45 to the power of circle ) = \text{sin}(45 to the power of circle )
b A LaTex expression showing \text{sin}(-45 to the power of circle ) = -\text{sin}(45 to the power of circle )
7
An svg image showing a math problem
What is true about the cosine of this negative angle?
a A LaTex expression showing \text{cos}(-60 to the power of circle ) = \text{cos}(60 to the power of circle )
b A LaTex expression showing \text{cos}(-60 to the power of circle ) = -\text{cos}(60 to the power of circle )
8
An svg image showing a math problem
What is true about the cosine of this negative angle?
a A LaTex expression showing \text{cos}(-120 to the power of circle ) = \text{cos}(120 to the power of circle )
b A LaTex expression showing \text{cos}(-120 to the power of circle ) = -\text{cos}(120 to the power of circle )