Name



Name ________________________ Date __________ Period ______

WORKSHEET - GRAPHS OF TRIG FUNCTIONS

Complete the table and graph each trig function on the interval -2π ( x ( 2π.

Note: Memorize the table for each of these functions.

1. f(x) = sin x

2. f(x) = cos x

3. f(x) = tan x

Graph f(x) = sin x and g(x) = cos x for 0 ( x ( 2π using two different colors. Then answer the questions that follow.

4.

Review.

5. Give the exact value of each of the following.

__________a) sin 330( __________b) tan [pic]

__________c) tan (-2() __________d) csc 315(

__________e) sec [pic] __________f) cot (-210()

__________g) cos [pic] __________h) csc [pic]

6. If sin θ = [pic] and cos θ = [pic], draw θ in the correct quadrant and find the exact value of the other five trig functions. Determine the value of θ in degrees.

_____a) tan θ

_____b) csc θ

_____c) sec θ

_____d) cot θ

_____e) θ

7. Complete the graph for

a) an even function. b) an odd function

c) an even function. d) an odd function

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A7-1

[pic]

|x |f(x) |

|0 | |

|[pic] | |

|π | |

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|[pic] | |

|2π | |

Domain: ____________ Period: _____________

Range: _____________

[pic]

|x |f(x) |

|0 | |

|[pic] | |

|π | |

|[pic] | |

|2π | |

Domain: ____________ Period: _____________

Range: _____________

[pic]

A7-1

|x |f(x) |

|[pic] | |

|[pic] | |

|0 | |

|[pic] | |

|[pic] | |

Domain: ____________ Period: _____________

Range: _____________

[pic]

a) Where is f(x) = 0? _________

b) Where is f(x) = g(x)? _________

c) Where is f(x) > g(x)? _________

d) Where is f(x) < g(x)? _________

e) Where is g(x) = 0? _________

f) Where is g(x) = 1? __________

g) Give the intervals where f(x) is

increasing: _____________

decreasing: _____________

A7-1

[pic]

[pic]

[pic]

[pic]

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