Simplifique la expresión considerando $$ \arctan (\mathrm{a})
eq 0 $$. $$ \mathrm{H}=\frac{\operatorname{arcsen}\left(\frac{2 \mathrm{a}}{1+\mathrm{a}^{2}} ight)+2 \arccos \left(\frac{1-\mathrm{a}^{2}}{1+\mathrm{a}^{2}} ight)}{\arctan [\operatorname{arccot}( an (2 \mathrm{a}))-\operatorname{arccot}( an (3 \mathrm{a}))]} $$

Question

Simplifique la expresión considerando $$ \arctan (\mathrm{a}) 
eq 0 $$. $$ \mathrm{H}=\frac{\operatorname{arcsen}\left(\frac{2 \mathrm{a}}{1+\mathrm{a}^{2}}ight)+2 \arccos \left(\frac{1-\mathrm{a}^{2}}{1+\mathrm{a}^{2}}ight)}{\arctan [\operatorname{arccot}(	an (2 \mathrm{a}))-\operatorname{arccot}(	an (3 \mathrm{a}))]} $$

Campos King · Accepted Answer

$$ \mathrm{H} = -\frac{\pi}{\arctan(\mathrm{a})} $$

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