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

Level 1

This math topic focuses on verifying the correctness of trigonometric sum and difference identities using radians. It includes problems that present various trigonometric identities involving functions like sine, cosine, and tangent, with specific radian measures. Participants are asked to determine whether the presented identities are true or false. This practice serves to enhance understanding and fluency in handling trigonometric identities, specifically regarding their application to angle sums and differences.

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 (Radians) Worksheet

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

Is this sum/difference identity correct?

$A LaTex expression showing \text{tan}{(4Pi over 3 - 2Pi over 3 )} = \frac{\text{tan}(4Pi over 3 ) - \text{tan}(2Pi over 3 )}{1+\text{tan}(4Pi over 3 )\text{tan}(2Pi over 3 ) }$

Yes

Is this sum/difference identity correct?

$A LaTex expression showing \text{cos}{(7Pi over 6 - 5Pi over 3 )} = \text{sin}{(7Pi over 6 )}\text{cos}{(5Pi over 3 )} - \text{cos}{(7Pi over 6 )}\text{sin}{(5Pi over 3 )}$

Yes

Is this sum/difference identity correct?

$A LaTex expression showing \text{tan}{(5Pi over 6 + 5Pi over 3 )} = \frac{\text{tan}(5Pi over 6 ) + \text{tan}(5Pi over 3 )}{1-\text{tan}(5Pi over 6 )\text{tan}(5Pi over 3 ) }$

Yes

Is this sum/difference identity correct?

$A LaTex expression showing \text{tan}{(Pi over 6 - 7Pi over 4 )} = \frac{\text{tan}(Pi over 6 ) + \text{tan}(7Pi over 4 )}{\text{tan} to the power of 2 (Pi over 6 )\text{tan} to the power of 2 (7Pi over 4 ) }$

Yes

Is this sum/difference identity correct?

$A LaTex expression showing \text{sin}{(5Pi over 4 - 7Pi over 4 )} = \text{sin}{(5Pi over 4 )}\text{cos}{(7Pi over 4 )} - \text{cos}{(5Pi over 4 )}\text{sin}{(7Pi over 4 )}$

Yes

Is this sum/difference identity correct?

$A LaTex expression showing \text{cos}{(5Pi over 6 - 4Pi over 3 )} = \text{sin}{(5Pi over 6 )}\text{sin}{(4Pi over 3 )} + \text{cos} to the power of 2 {(5Pi over 6 )}$

Yes

Is this sum/difference identity correct?

$A LaTex expression showing \text{sin}{(5Pi over 3 - 5Pi over 4 )} = \text{sin}{(5Pi over 3 )}\text{cos}{(5Pi over 4 )} - \text{cos}{(5Pi over 3 )}\text{sin}{(5Pi over 4 )}$

Yes

Is this sum/difference identity correct?

$A LaTex expression showing \text{sin}{(5Pi over 3 - 3Pi over 4 )} = \text{sin}{(5Pi over 3 )}\text{cos}{(3Pi over 4 )} + \text{cos}{(5Pi over 3 )}\text{sin}{(3Pi over 4 )}$

Yes