Starting with:(adsbygoogle = window.adsbygoogle || []).push({});

sin(x) = 2sin(x/2)cos(x/2)

sin(x/2) = 2sin(x/4)cos(x/4)

sin(x/4) = 2sin(x/8)cos(x/8) ...

So we can arrive at this

[tex] \sin{x} = 2^n \cdot \sin{\left(\frac{x}{2^n}\right)} \prod_{k=1}^{n} \cos{\left(\frac{x}{2^k}\right)} [/tex]

Valid for [tex] n \in \mathbb{N} \backslash \{ 0 \} [/tex]

Can you use this formula for anything?

**Physics Forums - The Fusion of Science and Community**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Sin product

Loading...

Similar Threads for product | Date |
---|---|

B Product rule OR Partial differentiation | Jan 10, 2018 |

B Derivative with the double cross product | Jul 18, 2017 |

B Derivation with logarithms and product | May 27, 2017 |

I Geometrical interpretation of gradient | May 26, 2017 |

I Why this form of the vector product? | May 17, 2017 |

**Physics Forums - The Fusion of Science and Community**