Question: (8) (i) Use the triangle trick as discussed in class to find a general formula for cos(arctan x) (without any trig functions). (ii) If we

(8) (i) Use the triangle trick as discussed in class to

(8) (i) Use the triangle trick as discussed in class to find a general formula for cos(arctan x) (without any trig functions). (ii) If we set f(x)= tan x (with domain restricted to (- : ")), then f-1(x) = arctan x. Use the formula for (f ')'(x) to show that (arctan x) = (cos(arctan x))2. dx (iii) Conclude from (i) and (ii) that (arctan x) = 1 dx x2+1

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