### Home > PC > Chapter 6 > Lesson 6.1.4 > Problem6-59

6-59.

Is it true that the sine function distributes over addition? That is, is it true that $\sin\left(α + β\right) = \sin\left(α\right) + \sin\left(β\right)$ for all angles $α$ and $β$? Justify your answer using special angles.

This is false! Explain with an example such as:

$\text{sin}\left ( \frac{\pi }{3}+\frac{\pi }{6} \right )$