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Trigonometry Identities - Sum/Difference Identity True/False (Degrees)

Level 1

This math topic focuses on the evaluation of trigonometric sum and difference identities specifically using degrees. Students are asked to determine whether given trigonometric identities are true or false. The identities involve the functions tangent, sine, and cosine, combining different angles through addition or subtraction. Each problem presents a trigonometric equation and offers two answer choices: "Yes" (the identity is correct) or "No" (the identity is incorrect). This set of problems helps in reinforcing students' understanding of the properties and transformations of trigonometric functions.

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

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Trigonometry Identities - Sum/Difference Identity True/False (Degrees) Worksheet

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Trigonometry Identities - Sum/Difference Identity True/False (Degrees)
1
Is this sum/difference identity correct?
A LaTex expression showing \text{tan}{(210 to the power of circle - 120 to the power of circle )} = \frac{\text{cos}(210 to the power of circle ) + \text{sin}(120 to the power of circle )}{1-\text{tan}(210 to the power of circle )\text{tan}(120 to the power of circle ) }
a
Yes
b
No
2
Is this sum/difference identity correct?
A LaTex expression showing \text{cos}{(210 to the power of circle + 150 to the power of circle )} = \text{cos}{(210 to the power of circle )}\text{cos}{(150 to the power of circle )} - \text{sin}{(210 to the power of circle )}\text{sin}{(150 to the power of circle )}
a
Yes
b
No
3
Is this sum/difference identity correct?
A LaTex expression showing \text{tan}{(30 to the power of circle + 225 to the power of circle )} = \frac{\text{tan}(30 to the power of circle ) + \text{tan}(225 to the power of circle )}{1-\text{tan}(30 to the power of circle )\text{tan}(225 to the power of circle ) }
a
Yes
b
No
4
Is this sum/difference identity correct?
A LaTex expression showing \text{cos}{(225 to the power of circle + 30 to the power of circle )} = \text{sin}{(225 to the power of circle )}\text{cos}{(30 to the power of circle )} + \text{cos}{(225 to the power of circle )}\text{sin}{(30 to the power of circle )}
a
Yes
b
No
5
Is this sum/difference identity correct?
A LaTex expression showing \text{cos}{(45 to the power of circle + 315 to the power of circle )} = \text{cos}{(45 to the power of circle )}\text{cos}{(315 to the power of circle )} - \text{sin}{(45 to the power of circle )}\text{sin}{(315 to the power of circle )}
a
Yes
b
No
6
Is this sum/difference identity correct?
A LaTex expression showing \text{tan}{(225 to the power of circle - 240 to the power of circle )} = \text{sin}{(225 to the power of circle )}\text{cos}{(240 to the power of circle )} - \text{cos}{(225 to the power of circle )}\text{sin}{(240 to the power of circle )}
a
Yes
b
No
7
Is this sum/difference identity correct?
A LaTex expression showing \text{tan}{(135 to the power of circle - 120 to the power of circle )} = \frac{\text{tan}(135 to the power of circle ) - \text{tan}(120 to the power of circle )}{1+\text{tan}(135 to the power of circle )\text{tan}(120 to the power of circle ) }
a
Yes
b
No
8
Is this sum/difference identity correct?
A LaTex expression showing \text{sin}{(240 to the power of circle + 315 to the power of circle )} = \text{sin}{(240 to the power of circle )}\text{cos}{(315 to the power of circle )} + \text{cos}{(240 to the power of circle )}\text{sin}{(315 to the power of circle )}
a
Yes
b
No