hw3_sp19.pdf - Math 115 Assignment 3 1 Let u03b1 =...

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Math 115 Assignment 31. Letα= tan1(45).(a)Find sinα,cosα,secα,cscαand cotα.(b) Find sin 2αand cos 2α.2. Find (a) cot(sin1(-12)-sec1(2)),(b) cos(tan12 + tan13)3. Show that tanh1x=12lnparenleftbigg1 +x1-xparenrightbigg,-1< x <1.4. Evaluate the integrals. Simplify your answers as much as possible.(a)integraldisplay21ln(x+ 2)x+ 2dx(b)integraldisplayln20e2xe2x+ 3dx5. (a) Show thatf(x) = 1/(x-1), x >1 is 1-1.(b)Find (f1)(2) using the formula proved in class.6. Supposegis the inverse function of a differentiable functionfandG(x) = 1/g(x). Iff(3) = 2andf(3) = 1/9, find

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