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7.7 Trig Functions of Real Numbers

7.7 Trig Functions of Real Numbers. Ex 1) Find the rectangular coordinates of P ( t ). y. P ( t ) = ( x , y ) on unit circle. a. P (0) b. c. ( x , y ). angle in radians. x. t. cos t. sin t. ( 0, –1 ). ( 1 , 0).

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7.7 Trig Functions of Real Numbers

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  1. 7.7 Trig Functions of Real Numbers

  2. Ex 1) Find the rectangular coordinates of P(t) y P(t) = (x, y) on unit circle a. P(0) b. c. (x, y) angle in radians x t cost sin t (0, –1) (1, 0)

  3. Ex 2) Determine which quadrant contains the given point P(t). a. b. P(12) radians ≈ 6.28 2π π 3.14 ≈ π ≈ 12.56 4π 9.42 ≈ 3π Q II Q IV

  4. Try one on your whiteboard! Write your own non-standard angle so that the point P(your angle in radians) is in Quadrant III. (like the ones we just did in Example 2) Then, give your angle to a partner so that they can confirm that it is in Quadrant III.

  5. Remember that each point (x, y) on the unit circle is (cost, sin t) (since r = 1 on the unit circle)

  6. Ex 3) Determine whether the following is true or false. ? ? ?

  7. Use whiteboards Two Truths & a Lie Two of the following statements are true and one is a lie. Find the “lie” and fix it to make it a truth. A) B) C)

  8. Homework #719 Pg. 438 1 – 43 odd

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