1. ANSWERS

2. Using Trig in every day life.

4. Check Homework

5. PRE Lesson 7.4: Inverse Trig Functions Objectives: To define the inverse of the sine, cosine, and tangent functions. To understand the domain and range of the inverse trig functions.

6. Inverse Sine

7. Inverse Sine (arcsin) The inverse of the function sin is the function sin –1 defined by: for –1 ≤ x ≤ 1 and –π/2 ≤ y ≤ π/2. sin y = x  sin –1 x = y

8. Example 1. Find the exact value of the expression if it is defined: (a) sin –1 ½ (b) sin –1 (–½) (c) sin –1 (3/2)

9. Inverse Cosine

10. Inverse Cosine (arccos) The inverse cosine function is the function cos –1 with domain [–1, 1] and range [0, π], defined by: cos y = x  cos –1 x = y

11. Example 2. Find the exact value of the expression if it is defined: (a) cos –1 (b) cos –1 (0) (c) cos –1 (5/7)

12. Inverse Tangent

13. Inverse Tangent (arctan) The inverse tangent function is the function tan –1 with domain and range (–π/2, π/2) defined by: tan y = x  tan –1 x = y

14. Example 3. Find the exact value of the expression if it is defined: (a) tan –1 (1) (b) tan –1 ( ) (c) tan –1 (-20)

15. Ex 4. Find the exact value of the expression, if it is defined. a.) b.) c.)

16. Classwork: Book; pg. 557: 1,4,6,7,10,11,13,16,18, 21, 26,53,54

17. Classwork: Book; pg. 557: 1,4,6,7,10,11,13,16,18, 21, 26,53,54

21. 1 4 9 16 25 36 49 64 81 100 121 144 169 196 225 256 289 324 361 400 441 484 529 576 625 676 729 784 841 900 1 2 4 8 16 32 64 128 256 512 Quiz Time