1. Find the domain of f(x) = cot x + cot​-1 x
  2. sin​-1​(sin 3)
  3. cos-1​ (cos 4)
  4. sin-1​ (sin 12)
  5. tan-1​ (tan 2)
  6. sec-1​ (sec 2 pi/3)

f(x)=cotx + cot-1xf(x)=cotx + 1cotx  = cotx + tanxf(x) = cosxsinx + sinxcosx = cos2x + sin2xsinx.cosx = 1sinx.cosxf(x) = 1cosx.sinx   Denominator should 0 cosx  0   and sinx0x  R -{nπ2}       (where n = 0,1,2,3,4,5........)

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