# Trigonometry Examples

Set up the polynomials to be divided. If there is not a term for every exponent, insert one with a value of .

- | - | - | + |

Divide the highest order term in the dividend by the highest order term in divisor .

- | - | - | + |

Multiply the new quotient term by the divisor.

- | - | - | + | ||||||||

+ | - |

The expression needs to be subtracted from the dividend, so change all the signs in

- | - | - | + | ||||||||

- | + |

After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.

- | - | - | + | ||||||||

- | + | ||||||||||

+ |

Pull the next terms from the original dividend down into the current dividend.

- | - | - | + | ||||||||

- | + | ||||||||||

+ | - |

Divide the highest order term in the dividend by the highest order term in divisor .

+ | |||||||||||

- | - | - | + | ||||||||

- | + | ||||||||||

+ | - |

Multiply the new quotient term by the divisor.

+ | |||||||||||

- | - | - | + | ||||||||

- | + | ||||||||||

+ | - | ||||||||||

+ | - |

The expression needs to be subtracted from the dividend, so change all the signs in

+ | |||||||||||

- | - | - | + | ||||||||

- | + | ||||||||||

+ | - | ||||||||||

- | + |

After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.

+ | |||||||||||

- | - | - | + | ||||||||

- | + | ||||||||||

+ | - | ||||||||||

- | + | ||||||||||

- |

Pull the next terms from the original dividend down into the current dividend.

+ | |||||||||||

- | - | - | + | ||||||||

- | + | ||||||||||

+ | - | ||||||||||

- | + | ||||||||||

- | + |

Divide the highest order term in the dividend by the highest order term in divisor .

+ | - | ||||||||||

- | - | - | + | ||||||||

- | + | ||||||||||

+ | - | ||||||||||

- | + | ||||||||||

- | + |

Multiply the new quotient term by the divisor.

+ | - | ||||||||||

- | - | - | + | ||||||||

- | + | ||||||||||

+ | - | ||||||||||

- | + | ||||||||||

- | + | ||||||||||

- | + |

The expression needs to be subtracted from the dividend, so change all the signs in

+ | - | ||||||||||

- | - | - | + | ||||||||

- | + | ||||||||||

+ | - | ||||||||||

- | + | ||||||||||

- | + | ||||||||||

+ | - |

After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.

+ | - | ||||||||||

- | - | - | + | ||||||||

- | + | ||||||||||

+ | - | ||||||||||

- | + | ||||||||||

- | + | ||||||||||

+ | - | ||||||||||

Since the remander is , the final answer is the quotient.