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Trigonometry Identities - Co-Function to Identity (Degrees)

Level 1

This math topic focuses on practicing trigonometric identities, specifically co-function identities, in degrees. It involves completing expressions that require understanding of how to convert one trigonometric function into another using co-function identities that often involve manipulating angles through addition or subtraction of 90 degrees. The problems use various functions like sine, cosine, tangent, cotangent, secant, and cosecant. Each question provides different trigonometric expressions and multiple-choice options for the students to apply the correct identity transformation.

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 (Degrees) Worksheet

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Trigonometry Identities - Co-Function to Identity (Degrees)
1
Complete the cofunction identity for this expression
A LaTex expression showing \text{cot}{(150 to the power of circle )}
a A LaTex expression showing =\text{tan}{(90 to the power of circle - 150 to the power of circle )}
b A LaTex expression showing =\text{tan}{(90 to the power of circle + 150 to the power of circle )}
2
Complete the cofunction identity for this expression
A LaTex expression showing \text{cos}{(300 to the power of circle )}
a A LaTex expression showing =\text{sin}{(90 to the power of circle - 300 to the power of circle )}
b A LaTex expression showing =\text{sec}{(90 to the power of circle - 300 to the power of circle )}
3
A LaTex expression showing \text{sin}{(30 to the power of circle )}
Complete the cofunction identity for this expression
a A LaTex expression showing =\text{csc}{(90 to the power of circle - 30 to the power of circle )}
b A LaTex expression showing =\text{cos}{(90 to the power of circle - 30 to the power of circle )}
4
A LaTex expression showing \text{cos}{(30 to the power of circle )}
Complete the cofunction identity for this expression
a A LaTex expression showing =\text{sec}{(90 to the power of circle - 30 to the power of circle )}
b A LaTex expression showing =\text{sin}{(90 to the power of circle - 30 to the power of circle )}
5
Complete the cofunction identity for this expression
A LaTex expression showing \text{tan}{(330 to the power of circle )}
a A LaTex expression showing =\text{cot}{(90 to the power of circle - 330 to the power of circle )}
b A LaTex expression showing =\text{cot}{(90 to the power of circle + 330 to the power of circle )}
6
Complete the cofunction identity for this expression
A LaTex expression showing \text{tan}{(240 to the power of circle )}
a A LaTex expression showing =\text{cot}{(90 to the power of circle + 240 to the power of circle )}
b A LaTex expression showing =\text{cot}{(90 to the power of circle - 240 to the power of circle )}
7
Complete the cofunction identity for this expression
A LaTex expression showing \text{csc}{(120 to the power of circle )}
a A LaTex expression showing =\text{sec}{(90 to the power of circle - 120 to the power of circle )}
b A LaTex expression showing =\text{sin}{(90 to the power of circle - 120 to the power of circle )}
8
Complete the cofunction identity for this expression
A LaTex expression showing \text{tan}{(30 to the power of circle )}
a A LaTex expression showing =\text{cot}{(90 to the power of circle - 30 to the power of circle )}
b A LaTex expression showing =\text{cot}{(90 to the power of circle + 30 to the power of circle )}