Consider the function f(x) = tan x on the domain (-7/2, 7/2). Sketch f. Denote its inverse function by tan x. (a) By drawing appropriate right-angled triangles, show that sin(tan r) = and 1+ 12 1 cos(tan x) = VI+ 12 (b) Using (sina)' = cos x show that tan D= dx 1+ x2