Find the relationship between arctan[cot(arctan x)] and arccot[tan(arccot x)].
The
<math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mi>arctan</mi><mo></mo></mrow><annotation encoding="application/x-tex">\arctan</annotation></semantics></math>arctan and
<math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mstyle mathcolor="#cc0000"><mtext>\arccot</mtext></mstyle></mrow><annotation encoding="application/x-tex">\arccot</annotation></semantics></math>\arccot functions are related through the identity:
<math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><semantics><mrow><mstyle mathcolor="#cc0000"><mtext>\arccot</mtext></mstyle><mi>y</mi><mo>=</mo><mfrac><mi>π</mi><mn>2</mn></mfrac><mo>−</mo><mi>arctan</mi><mo></mo><mi>y</mi><mo separator="true">,</mo><mspace width="1em"></mspace><mi>y</mi><mo>></mo><mn>0.</mn></mrow><annotation encoding="application/x-tex">\arccot y = \frac{\pi}{2} - \arctan y, \quad y > 0.</annotation></semantics></math>\arccoty=2π−arctany,y>0.
fun
