Is this product to sum identity correct? $$\text{cos}{(45^{\circ})}\text{cos}{(300^{\circ})} = \frac{1}{2} \left[ \text{cos}(45^{\circ} - 300^{\circ}) + \text{cos}(45^{\circ} + 300^{\circ}) \right] $$

Trigonometry Identities - Product to Sum Identity True/False (Degrees)

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 - Product to Sum Identity True/False (Degrees)

Is this product to sum identity correct?

\text{cos}{(315^{\circ})}\text{sin}{(300^{\circ})} = \frac{1}{2} \left[ \text{cos}(315^{\circ} + 300^{\circ}) + \text{cos}^2(315^{\circ} + 300^{\circ}) \right]

Earned ?