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(3x – π) = 1/2

9. a. Evaluate sin(arctan(3/4)) a. Evaluate sec(arsin(4/5))

10. Let u be a differentiable function of x.

11. a. b. c. d.

12. Analyze the graph of f(x) = arctanx + π/2

14.  AB: Page 380 #63, 64, 65, 77, 91- 93