1. Ms. Battaglia AP Calculus

2. FunctionDomainRange

3. y = arcsinxy = arccosx

4. y = arctanxy = arccscx

5. y = arcsecxy = arccotx

6. a.b. c.d.

7. If -1 < x < 1 and –π/2 < y < π/2 then sin(arcsinx) = x and arcsin(siny) = y If –π/2 < y < π/2, then tan(arctanx) = x and arctan(tany) = y If |x| > 1 and 0 < y < π/2 or π/2 < y < π, then Sec(arcsecx) = x and arcsec(secy) = y. Similar properties hold for other inverse trig functions.

8. arctan(2x – 3) = π/4

9. a. Given y = arcsinx, where 0 < y < π/2, find cos y. a. Given y = arcsec( ), find tan y.

10. Let u be a differentiable function of x.

11. a. b. c. d.

13. A photographer is taking a picture of a painting hung in an art gallery. The height of the painting is 4 ft. The camera lens is 1 ft below the lower edge of the painting. How far should the camera be from the painting to maximize the angle subtended by the camera lens?

15.  AB: Read 5.6 Page 379 #5-11 odd, 17, 27, 29, 43-51 odd  BC: AP Sample