Graphs of the Trig Functions Objective To use the graphs of the trigonometric functions.

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Presentation transcript:

Graphs of the Trig Functions Objective To use the graphs of the trigonometric functions.

The Sine Function – y = sin x

The Cosine Function – y = cos x

The Tangent Function – y = tan x

The Cosecant Function – y = csc x

The Secant Function – y = sec x

The Cotangent Function – y = cot x

Periodic Function and Period The graphs of the trig functions are periodic, meaning they repeat themselves every 180° or every 360°. We can find 0’s, maximum values, and minimum values easily. Since we know that sin 90° = 1, we also know that sin (90° + 360°k) = 1.

Use the graph of the cosine function to find the values of  for which cos  = 1

Graph the sine curve in the interval -540° <  < 0°

Assignment Page 305 – 307 – # 19 – 45, 55, 59 – 61, 63