Trigonometry Identities - Double Angle Identity True/False (Greek Letter)

Level 1

This math topic focuses on verifying double angle identities in trigonometry. Students are provided with various trigonometric expressions involving the double angle formulas for sine, cosine, and tangent functions. Each problem presents an identity, and students must determine whether the identity is correct or incorrect. The expressions involve Greek letters such as theta, beta, and gamma, emphasizing the use of symbolic notation commonly employed in trigonometry. This exercise is part of an introductory unit on trigonometric identities.

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 (Greek Letter) Worksheet

Trigonometry Identities - Double Angle Identity True/False (Greek Let...

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

Is this double-angle identity correct?

Yes

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

Is this double-angle identity correct?

Yes

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

Is this double-angle identity correct?

Yes

Is this double-angle identity correct?

$A LaTex expression showing \text{sin}{(2 times \beta)} = 2\text{sin}(\beta)\text{cos}(\beta)$

Yes

Is this double-angle identity correct?

$A LaTex expression showing \text{tan}{(2 times \beta)} = 2\text{tan}(\beta)\text{cot}(\beta)$

Yes

Is this double-angle identity correct?

$A LaTex expression showing \text{sin}{(2 times \theta)} = 2\text{sin}(\theta)\text{cos}(\theta)$

Yes

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

Is this double-angle identity correct?

Yes

$A LaTex expression showing \text{sin}{(2 times \theta)} = \frac{\text{tan}(\theta)}{1+2\text{tan}(\theta)}$

Is this double-angle identity correct?

Yes