2.5 Properties of the Trig Functions

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Presentation transcript:

2.5 Properties of the Trig Functions Learning Objective: To find the exact values of the Trig functions using the unit circle, to know the domain and range of the trig functions, and to use the Periodic and Even-Odd Properties to find the Exact values of the Trig functions. Warm-up (IN) – none! NOTES If t is a real # and P is any point on the unit circle...

Ex 1 – Find all 6 trig functions if P = is the point on the unit circle that corresponds to t. If P is any point on circle and is on the terminal side of …

Ex 2 – Find all 6 trig functions if P = Periodic Properties periodic – means repeating sin, cos, csc and sec are the same every 360º or 2π radians tan and cot are the same every 180º or π radians

So… k meaning any multiple of 2π Ex 3 – Find the exact value:

D: R: given Domain and Range of 6 trig functions Except odd multiples of Except odd multiples of Except odd multiples of Except odd multiples of Except odd multiples of Except odd multiples of

Even-Odd Functions Odd Even Odd Ex 4 – Find the exact value:

Out – What does periodic mean? Summary - Today was … HW – pg. 172 #13-17,21-24,29-33,37-41, 47-51,55-57,61-64, 67-72 Don’t forget about POW!!