Respuesta:
T = tan²(x)
Explicación paso a paso:
T = (tan²(x) csc²(x) + csc²(x)) / (tan(x) + cot(x))²
T = (csc²(x)(tan²(x) + 1)) / (tan(x) + 1 / tan(x))²
T = (csc²(x)(tan²(x) + 1)) / ((tan²(x) + 1) / tan(x))²
T = (csc²(x)*csc²(x)) / (csc² / tan(x))²
T = csc⁴(x) / (csc⁴(x) / tan²(x))
T = (csc⁴(x) / 1) / (csc⁴(x) / tan²(x))
T = tan²(x)*csc⁴(x) / csc⁴(x)
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Respuesta:
T = tan²(x)
Explicación paso a paso:
T = (tan²(x) csc²(x) + csc²(x)) / (tan(x) + cot(x))²
T = (csc²(x)(tan²(x) + 1)) / (tan(x) + 1 / tan(x))²
T = (csc²(x)(tan²(x) + 1)) / ((tan²(x) + 1) / tan(x))²
T = (csc²(x)*csc²(x)) / (csc² / tan(x))²
T = csc⁴(x) / (csc⁴(x) / tan²(x))
T = (csc⁴(x) / 1) / (csc⁴(x) / tan²(x))
T = tan²(x)*csc⁴(x) / csc⁴(x)
T = tan²(x)