Trigonometry, Negative Angles Identity (Equations) - Cos/Sin/Tan to Identity (Greek Letter)

Level 1

This math topic focuses on practicing trigonometric identities related to negative angle properties for sine, cosine, and tangent functions. It involves determining the correct identity expressions when given negative angle inputs (denoted by Greek letters such as \(\gamma\), \(\alpha\), \(\theta\)) for these trigonometric functions. The problems are structured to test understanding of how these functions behave under negation, such as whether the functions retain the same value, change signs, or alter in some other way, providing a foundational understanding of trigonometric identities in context.

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

more

Trigonometry, Negative Angles Identity (Equations) - Cos/Sin/Tan to Identity (Greek Letter) Worksheet

Mobius Math Academy logo
Trigonometry, Negative Angles Identity (Equations) - Cos/Sin/Tan to I...
1
A LaTex expression showing \text{sin}(-\gamma)
What is true about the sine of this negative angle?
a A LaTex expression showing \text{sin}(-\gamma) = \text{sin}(\gamma)
b A LaTex expression showing \text{sin}(-\gamma) = -\text{sin}(\gamma)
2
A LaTex expression showing \text{cos}(-\alpha)
What is true about the cosine of this negative angle?
a A LaTex expression showing \text{cos}(-\alpha) = -\text{cos}(\alpha)
b A LaTex expression showing \text{cos}(-\alpha) = \text{cos}(\alpha)
3
A LaTex expression showing \text{tan}(-\alpha)
What is true about the tangent of this negative angle?
a A LaTex expression showing \text{tan}(-\alpha) = -\text{tan}(\alpha)
b A LaTex expression showing \text{tan}(-\alpha) = \text{tan}(\alpha)
4
A LaTex expression showing \text{sin}(-\alpha)
What is true about the sine of this negative angle?
a A LaTex expression showing \text{sin}(-\alpha) = -\text{sin}(\alpha)
b A LaTex expression showing \text{sin}(-\alpha) = \text{sin}(\alpha)
5
A LaTex expression showing \text{cos}(-\gamma)
What is true about the cosine of this negative angle?
a A LaTex expression showing \text{cos}(-\gamma) = \text{cos}(\gamma)
b A LaTex expression showing \text{cos}(-\gamma) = -\text{cos}(\gamma)
6
A LaTex expression showing \text{cos}(-\theta)
What is true about the cosine of this negative angle?
a A LaTex expression showing \text{cos}(-\theta) = -\text{cos}(\theta)
b A LaTex expression showing \text{cos}(-\theta) = \text{cos}(\theta)
7
A LaTex expression showing \text{tan}(-\theta)
What is true about the tangent of this negative angle?
a A LaTex expression showing \text{tan}(-\theta) = \text{tan}(\theta)
b A LaTex expression showing \text{tan}(-\theta) = -\text{tan}(\theta)
8
A LaTex expression showing \text{cos}(-\beta)
What is true about the cosine of this negative angle?
a A LaTex expression showing \text{cos}(-\beta) = \text{cos}(\beta)
b A LaTex expression showing \text{cos}(-\beta) = -\text{cos}(\beta)