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Popular >

tan^2(x)+cot^2(x)-2=0

Solución

tan^{2} (x) + cot^{2} (x) - 2 = 0

Solución

x = \frac{π}{4} + πn, x = \frac{3 π}{4} + πn

+1

Pasos de solución

tan^{2} (x) + cot^{2} (x) - 2 = 0

Re-escribir usando identidades trigonométricas

- 2 + cot^{2} (x) + \frac{1}{cot ^{2} ( x )} = 0

Usando el método de sustitución

cot (x) = 1, cot (x) = - 1

cot (x) = 1 : x = \frac{π}{4} + πn

cot (x) = - 1 : x = \frac{3 π}{4} + πn

Combinar toda las soluciones

x = \frac{π}{4} + πn, x = \frac{3 π}{4} + πn

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