Trigonometry Identities - Co-Function Identity True/False (Radians)

Level 1

This math topic focuses on assessing the understanding of trigonometric co-function identities using radians. It covers verifying the correctness of various co-function identities like cosine, sine, cotangent, tangent, secant, and cosecant through true/false questions. The problems use a mix of common trigonometric angles to challenge the learners in applying their knowledge of trigonometric relationships and transformations, such as shifts and period changes, within the unit circle framework. The format supports learning and verifying fundamental trigonometric properties.

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

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Trigonometry Identities - Co-Function Identity True/False (Radians) Worksheet

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Trigonometry Identities - Co-Function Identity True/False (Radians)
1
Is this cofunction identity correct?
A LaTex expression showing \text{cos}{(11Pi over 6 )} = \text{sin}{(Pi over 2 - 11Pi over 6 )}
a
Yes
b
No
2
A LaTex expression showing \text{cot}{(2Pi over 3 )} = \text{tan}{(Pi over 2 - 2Pi over 3 )}
Is this cofunction identity correct?
a
Yes
b
No
3
A LaTex expression showing \text{cos}{(5Pi over 6 )} = \text{sec}{(Pi over 2 - 5Pi over 6 )}
Is this cofunction identity correct?
a
Yes
b
No
4
A LaTex expression showing \text{sec}{(5Pi over 3 )} = \text{cos}{(Pi over 2 - 5Pi over 3 )}
Is this cofunction identity correct?
a
Yes
b
No
5
Is this cofunction identity correct?
A LaTex expression showing \text{tan}{(3Pi over 4 )} = \text{cot}{(Pi over 2 + 3Pi over 4 )}
a
Yes
b
No
6
A LaTex expression showing \text{csc}{(7Pi over 6 )} = \text{sin}{(Pi over 2 - 7Pi over 6 )}
Is this cofunction identity correct?
a
Yes
b
No
7
A LaTex expression showing \text{cot}{(4Pi over 3 )} = \text{tan}{(Pi over 2 - 4Pi over 3 )}
Is this cofunction identity correct?
a
Yes
b
No
8
A LaTex expression showing \text{csc}{(5Pi over 3 )} = \text{sin}{(Pi over 2 - 5Pi over 3 )}
Is this cofunction identity correct?
a
Yes
b
No