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Trigonometry Identities - Co-Function to Identity (Radians)

Level 1

This math topic focuses on practicing trigonometric identities, specifically co-function identities in radians. Learners are given trigonometric expressions and asked to complete them using appropriate co-function identities. Problems require converting given trigonometric functions into their corresponding co-functions by adjusting the angle measures, reflecting knowledge of relationships like sine to cosecant or tangent to cotangent. It serves as an introduction to more complex trigonometric identities, honing skills in manipulating angles and understanding fundamental trigonometric equivalences.

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

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Trigonometry Identities - Co-Function to Identity (Radians) Worksheet

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Trigonometry Identities - Co-Function to Identity (Radians)
1
A LaTex expression showing \text{sin}{(Pi over 4 )}
Complete the cofunction identity for this expression
a A LaTex expression showing =\text{csc}{(Pi over 2 - Pi over 4 )}
b A LaTex expression showing =\text{cos}{(Pi over 2 - Pi over 4 )}
2
A LaTex expression showing \text{tan}{(Pi over 4 )}
Complete the cofunction identity for this expression
a A LaTex expression showing =\text{cot}{(Pi over 2 - Pi over 4 )}
b A LaTex expression showing =\text{cot}{(Pi over 2 + Pi over 4 )}
3
A LaTex expression showing \text{csc}{(2Pi over 3 )}
Complete the cofunction identity for this expression
a A LaTex expression showing =\text{sin}{(Pi over 2 - 2Pi over 3 )}
b A LaTex expression showing =\text{sec}{(Pi over 2 - 2Pi over 3 )}
4
A LaTex expression showing \text{csc}{(Pi over 6 )}
Complete the cofunction identity for this expression
a A LaTex expression showing =\text{sin}{(Pi over 2 - Pi over 6 )}
b A LaTex expression showing =\text{sec}{(Pi over 2 - Pi over 6 )}
5
A LaTex expression showing \text{csc}{(11Pi over 6 )}
Complete the cofunction identity for this expression
a A LaTex expression showing =\text{sec}{(Pi over 2 - 11Pi over 6 )}
b A LaTex expression showing =\text{sin}{(Pi over 2 - 11Pi over 6 )}
6
A LaTex expression showing \text{csc}{(5Pi over 6 )}
Complete the cofunction identity for this expression
a A LaTex expression showing =\text{sin}{(Pi over 2 - 5Pi over 6 )}
b A LaTex expression showing =\text{sec}{(Pi over 2 - 5Pi over 6 )}
7
A LaTex expression showing \text{tan}{(2Pi over 3 )}
Complete the cofunction identity for this expression
a A LaTex expression showing =\text{cot}{(Pi over 2 - 2Pi over 3 )}
b A LaTex expression showing =\text{cot}{(Pi over 2 + 2Pi over 3 )}
8
A LaTex expression showing \text{sin}{(Pi over 3 )}
Complete the cofunction identity for this expression
a A LaTex expression showing =\text{csc}{(Pi over 2 - Pi over 3 )}
b A LaTex expression showing =\text{cos}{(Pi over 2 - Pi over 3 )}