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

Level 1

This math topic focuses on practicing trigonometric identities related to negative angles, specifically dealing with the sine, cosine, and tangent functions of negative radians. It includes evaluating the equality of trigonometric functions at negative angles compared to their positive counterparts, helping to reinforce understanding of symmetrical properties in the unit circle. The questions provided require students to determine whether given trigonometric statements involving negative angles are true or false, enabling them to deepen their grasp of fundamental trigonometric concepts.

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

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

Trigonometry, Negative Angles Identity (Equations) - Cos/Sin/Tan to I...

$A LaTex expression showing \text{sin}(-3Pi over 4 )$

What is true about the sine of this negative angle?

a $A LaTex expression showing \text{sin}(-3Pi over 4 ) = -\text{sin}(3Pi over 4 )$

b $A LaTex expression showing \text{sin}(-3Pi over 4 ) = \text{sin}(3Pi over 4 )$

$A LaTex expression showing \text{sin}(-5Pi over 6 )$

What is true about the sine of this negative angle?

a $A LaTex expression showing \text{sin}(-5Pi over 6 ) = \text{sin}(5Pi over 6 )$

b $A LaTex expression showing \text{sin}(-5Pi over 6 ) = -\text{sin}(5Pi over 6 )$

$A LaTex expression showing \text{cos}(-Pi over 4 )$

What is true about the cosine of this negative angle?

a $A LaTex expression showing \text{cos}(-Pi over 4 ) = \text{cos}(Pi over 4 )$

b $A LaTex expression showing \text{cos}(-Pi over 4 ) = -\text{cos}(Pi over 4 )$

$A LaTex expression showing \text{tan}(-5Pi over 6 )$

What is true about the tangent of this negative angle?

a $A LaTex expression showing \text{tan}(-5Pi over 6 ) = \text{tan}(5Pi over 6 )$

b $A LaTex expression showing \text{tan}(-5Pi over 6 ) = -\text{tan}(5Pi over 6 )$

$A LaTex expression showing \text{tan}(-2Pi over 3 )$

What is true about the tangent of this negative angle?

a $A LaTex expression showing \text{tan}(-2Pi over 3 ) = -\text{tan}(2Pi over 3 )$

b $A LaTex expression showing \text{tan}(-2Pi over 3 ) = \text{tan}(2Pi over 3 )$

$A LaTex expression showing \text{sin}(-Pi over 3 )$

What is true about the sine of this negative angle?

a $A LaTex expression showing \text{sin}(-Pi over 3 ) = \text{sin}(Pi over 3 )$

b $A LaTex expression showing \text{sin}(-Pi over 3 ) = -\text{sin}(Pi over 3 )$

$A LaTex expression showing \text{cos}(-3Pi over 4 )$

What is true about the cosine of this negative angle?

a $A LaTex expression showing \text{cos}(-3Pi over 4 ) = \text{cos}(3Pi over 4 )$

b $A LaTex expression showing \text{cos}(-3Pi over 4 ) = -\text{cos}(3Pi over 4 )$

$A LaTex expression showing \text{cos}(-Pi over 3 )$

What is true about the cosine of this negative angle?

a $A LaTex expression showing \text{cos}(-Pi over 3 ) = -\text{cos}(Pi over 3 )$

b $A LaTex expression showing \text{cos}(-Pi over 3 ) = \text{cos}(Pi over 3 )$