Ms. Battaglia AP Calculus. FunctionDomainRange y = arcsinxy = arccosx.

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Presentation transcript:

Ms. Battaglia AP Calculus

FunctionDomainRange

y = arcsinxy = arccosx

y = arctanxy = arccscx

y = arcsecxy = arccotx

a.b. c.d.

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.

Arctan(3x – π) = 1/2

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

Let u be a differentiable function of x.

a. b. c. d.

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

 AB: Page 380 #63, 64, 65, 77,