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# C3 Maths

### A2 maths formula revision

Answer | C3 Maths |
---|---|

Rewrite sin x / cos x in terms of tan | tan x |

Rewrite sec^2 x in terms of tan | 1 + tan^2 x |

rewrite cosec^2 x in terms of cot | 1 + cot^2 x |

What do you use the chain rule for? | Differentiating a function of a function, eg sin 2x or exp(3x) |

What do you use the quotient rule for? | Differentiating a function divided by a function, ie u/v |

What do you use the product rule for? | Differentiating two functions multiplied together, eg (x^2)(sin x) |

Differentiate sin kx | k cos kx |

Differentiate cos kx | - k sin kx |

Differentiate e^(kx) | k e (kx) |

Integrate sin kx | - 1/k cos kx + c |

Integrate cos kx | 1/k sin kx+ c |

Integrate tan x | sec^2 x + c |

Integrate 1/x | ln|x| + c |

Integrate e^kx | 1/k e^kx + c |

What is the formula for the volume generated by rotating the area enclosed by a curve y = f(x) and the x-axis? revolution around the x axis? | V = pi int(a,b) y^2 dx |

What is the formula for finding the volume generated by rotating the area enclosed by a curve y = f(x) and the y-axis? | V = pi int (a,b) x^2 dx |

What is 1/ sin x | cosec x |

What is 1/ cos x | sec x |

What is 1/ tan x | cot x |

Differentiate ln x | 1/ x |

What is sin^2 x + cos^2 x | 1 |

What is 1 - cos^2 x | sin^2 x |

Created by:
stevebishop