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5.3.1 props of trig functions

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5.3.1 props of trig functions

1. 1. 5.3 Properties of Trigonometric Functions<br />*Periodicity<br />*Identify Quadrant where angle exists<br />
2. 2. Periodicity<br />A function whose value repeats at regular intervals is called a “Periodic Function”<br />The trigonometric functions are periodic functions<br />Sine, Cosine, Cosecant, and Secant’s values repeat every 360⁰ (2π radians)<br />Tangent and Cotangent’s values repeat every 180⁰ (π radians)<br />
3. 3. Periodic Properties<br />
4. 4. Periodic Properties<br />
5. 5.
6. 6.
7. 7.
8. 8. Name that Quadrant!<br />You can narrow down which quadrant an angle exists in by simply knowing the sign of the value of one of the six trig functions.<br />If you know the sign of the value of TWO of the six trig functions, you can state with certainty which quadrant the angle exists in.<br />
9. 9. Explore<br />“r” is always positive<br />+<br />+<br />-<br />-<br />
10. 10. Explore<br />“r” is always positive<br />+<br />-<br />+<br />-<br />
11. 11. Explore<br />+<br />-<br />-<br />+<br />