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

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7.7 Trig Functions of Real Numbers

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

Ex 2) Determine which quadrant contains the given point P ( t ). a. π Q II b. P(12) π 2π2π 3.14 ≈ ≈ π3π9.42 ≈ 4π4π ≈ Q IV radians

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.

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

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

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) Use whiteboards

Homework #719 Pg – 43 odd