Trigonometry Identities - Double Angle Identity True/False (Degrees)

Level 1

This math topic focuses on verifying the correctness of trigonometric double angle identities. The problems provided are true/false questions concerning double angle identities expressed in degrees. These identities involve trigonometric functions, including sine, cosine, and tangent, across various angle measures. Each question presents an identity and asks if it is correct or incorrect, deepening understanding of trigonometric identity manipulation and application.

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

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Trigonometry Identities - Double Angle Identity True/False (Degrees) Worksheet

Trigonometry Identities - Double Angle Identity True/False (Degrees)

Is this double-angle identity correct?

$A LaTex expression showing \text{sin}{(2 times 30 to the power of circle )} = \frac{\text{tan}(30 to the power of circle )}{1+2\text{tan}(30 to the power of circle )}$

Yes

Is this double-angle identity correct?

$A LaTex expression showing \text{tan}{(2 times 210 to the power of circle )} = \frac{2\text{tan}(210 to the power of circle )}{1-\text{tan} to the power of 2 (210 to the power of circle )}$

Yes

Is this double-angle identity correct?

$A LaTex expression showing \text{cos}{(2 times 120 to the power of circle )} = \frac{1-\text{tan} to the power of 2 (120 to the power of circle )}{1+\text{tan} to the power of 2 (120 to the power of circle )}$

Yes

Is this double-angle identity correct?

$A LaTex expression showing \text{tan}{(2 times 225 to the power of circle )} = \frac{\text{tan}(225 to the power of circle )}{1-2\text{tan}(225 to the power of circle )}$

Yes

$A LaTex expression showing \text{cos}{(2 times 45 to the power of circle )} = \frac{1-\text{tan} to the power of 2 (45 to the power of circle )}{1+\text{tan} to the power of 2 (45 to the power of circle )}$

Is this double-angle identity correct?

Yes

Is this double-angle identity correct?

$A LaTex expression showing \text{tan}{(2 times 210 to the power of circle )} = \frac{\text{tan}(210 to the power of circle )}{1-2\text{tan}(210 to the power of circle )}$

Yes

Is this double-angle identity correct?

$A LaTex expression showing \text{cos}{(2 times 315 to the power of circle )} = 2\text{cos} to the power of 2 (315 to the power of circle ) - 1$

Yes

Is this double-angle identity correct?

$A LaTex expression showing \text{cos}{(2 times 330 to the power of circle )} = 1 - 2\text{sin} to the power of 2 (330 to the power of circle )$

Yes