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Popular >

4tan^2(x)+21tan(x)-49=0

Solución

4 tan^{2} (x) + 21 tan (x) - 49 = 0

Solución

x = 1.05165 \dots + πn, x = - 1.42889 \dots + πn

+1

Pasos de solución

4 tan^{2} (x) + 21 tan (x) - 49 = 0

Usando el método de sustitución

tan (x) = \frac{7}{4}, tan (x) = - 7

tan (x) = \frac{7}{4} : x = arctan (\frac{7}{4}) + πn

tan (x) = - 7 : x = arctan (- 7) + πn

Combinar toda las soluciones

x = arctan (\frac{7}{4}) + πn, x = arctan (- 7) + πn

Mostrar soluciones en forma decimal

x = 1.05165 \dots + πn, x = - 1.42889 \dots + πn

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cot (x) = csc (x) + 1

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\frac{sin ( 8 )}{30} = \frac{sin ( x )}{120}

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