Is this double-angle identity correct? $$\text{sin}{(2\cdot\theta)} = \frac{\text{tan}(\theta)}{1+2\text{tan}(\theta)}$$

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

Level 1

The topics in this unit focus on mastering the basic 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)

Is this double-angle identity correct?

\text{cos}{(2\cdot\alpha)} = \text{cos}^2(\alpha) + \text{sin}^2(\alpha)

Earned ?