Graphing Cosecant, Secant, Tangent & Cotangent Functions



Homework

Graphing Cosecant, Secant, Tangent & Cotangent Functions

Pre-Calculus - Section 5.5

Given the graph of the sine or cosine function, graph the cosecant or secant function.

|1. Given y = sin (2x), graph y = csc (2x) |2. Given y = 3 cos (2x), graph y = 3 sec (2x) |

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|[pic] |[pic] |

Graph at lease two cycles of the functions. Label the scale of each axis.

|3. y = sec(4πx) |4. y = csc(½x) |

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|Domain: |Domain: |

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|Range: |Range: |

|5. y = 2 csc(3πx) |6. y = – 4 sec(⅓x) |

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|Domain: |Domain: |

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|Range: |Range: |

Graph at lease two cycles of the functions. Label the scale of each axis.

|7. y = 3 tan x |8. y = 3 tan(2x) |

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|Domain: |Domain: |

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|Range: |Range: |

|9. y = tan(⅓x) |10. y = 3 cot 4x |

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|Domain: |Domain: |

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|Range: |Range: |

|11. y = 5 cot(½x) |12. y = 3 tan 2πx |

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|Domain: |Domain: |

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