tan^4(x)-13tan^2(x)+36=0

Solución

tan^{4} (x) - 13 tan^{2} (x) + 36 = 0

x = 1.24904 \dots + πn, x = - 1.24904 \dots + πn, x = 1.10714 \dots + πn, x = - 1.10714 \dots + πn

Pasos de solución

tan^{4} (x) - 13 tan^{2} (x) + 36 = 0

Usando el método de sustitución

tan (x) = 3, tan (x) = - 3, tan (x) = 2, tan (x) = - 2

tan (x) = 3 : x = arctan (3) + πn

tan (x) = - 3 : x = arctan (- 3) + πn

tan (x) = 2 : x = arctan (2) + πn

tan (x) = - 2 : x = arctan (- 2) + πn

Combinar toda las soluciones

x = arctan (3) + πn, x = arctan (- 3) + πn, x = arctan (2) + πn, x = arctan (- 2) + πn

Mostrar soluciones en forma decimal

x = 1.24904 \dots + πn, x = - 1.24904 \dots + πn, x = 1.10714 \dots + πn, x = - 1.10714 \dots + πn

cos (θ) = 0.8

cos (θ) = 0.6

sin (x) = - 3

4 sin (4 x) = - 8 sin (2 x)

3 sin^{2} (θ) - cos^{2} (θ) = 0