Trigonometry Identities - Sum/Difference Identity True/False (Greek Letter)

Level 1

This math topic focuses on practicing trigonometric identities, specifically verifying sum and difference identities involving sine, cosine, and tangent functions with Greek letters as variables. The problems present various trigonometric expressions, asking students to determine whether they are correct. Each question is a true/false format where students choose if the given identity is correct, enhancing their understanding and ability to manipulate trigonometric identities, an essential skill in high-level math.

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 (Greek Letter) Worksheet

Trigonometry Identities - Sum/Difference Identity True/False (Greek L...

Is this sum/difference identity correct?

$A LaTex expression showing \text{tan}{(\alpha - \beta)} = \text{sin}{(\alpha)}\text{cos}{(\beta)} - \text{cos}{(\alpha)}\text{sin}{(\beta)}$

Yes

Is this sum/difference identity correct?

$A LaTex expression showing \text{cos}{(\theta - \beta)} = \text{sin}{(\theta)}\text{cos}{(\beta)} - \text{cos}{(\theta)}\text{sin}{(\beta)}$

Yes

Is this sum/difference identity correct?

$A LaTex expression showing \text{sin}{(\theta + \gamma)} = \text{sin}{(\theta)}\text{cos}{(\gamma)} + \text{cos}{(\theta)}\text{sin}{(\gamma)}$

Yes

Is this sum/difference identity correct?

$A LaTex expression showing \text{cos}{(\alpha + \gamma)} = \text{cos}{(\alpha)}\text{cos}{(\gamma)} - \text{sin}{(\alpha)}\text{sin}{(\gamma)}$

Yes

Is this sum/difference identity correct?

$A LaTex expression showing \text{sin}{(\beta + \alpha)} = \text{sin}{(\beta)}\text{cos}{(\alpha)} - \text{cos}{(\beta)}\text{sin}{(\alpha)}$

Yes

Is this sum/difference identity correct?

$A LaTex expression showing \text{sin}{(\gamma - \theta)} = \text{sin}{(\gamma)}\text{cos}{(\theta)} + \text{cos}{(\gamma)}\text{sin}{(\theta)}$

Yes

Is this sum/difference identity correct?

$A LaTex expression showing \text{cos}{(\gamma - \beta)} = \text{sin}{(\gamma)}\text{cos}{(\beta)} - \text{cos}{(\gamma)}\text{sin}{(\beta)}$

Yes

Is this sum/difference identity correct?

$A LaTex expression showing \text{tan}{(\theta + \alpha)} = \frac{\text{tan}(\theta) + \text{tan}(\alpha)}{1-\text{tan}(\theta)\text{tan}(\alpha) }$

Yes