(tan(x)+1)^2+(1+1/(tan(x)))^2=100

Solución

(tan (x) + 1)^{2} + (1 + \frac{1}{tan ( x )})^{2} = 100

x = - 0.09100 \dots + πn, x = 0.11141 \dots + πn, x = 1.45937 \dots + πn, x = - 1.47979 \dots + πn

Pasos de solución

(tan (x) + 1)^{2} + (1 + \frac{1}{tan ( x )})^{2} = 100

Usando el método de sustitución

tan (x) \approx - 0.09125 \dots, tan (x) \approx 0.11188 \dots, tan (x) \approx 8.93799 \dots, tan (x) \approx - 10.95862 \dots

tan (x) = - 0.09125 \dots : x = arctan (- 0.09125 \dots) + πn

tan (x) = 0.11188 \dots : x = arctan (0.11188 \dots) + πn

tan (x) = 8.93799 \dots : x = arctan (8.93799 \dots) + πn

tan (x) = - 10.95862 \dots : x = arctan (- 10.95862 \dots) + πn

Combinar toda las soluciones

x = arctan (- 0.09125 \dots) + πn, x = arctan (0.11188 \dots) + πn, x = arctan (8.93799 \dots) + πn, x = arctan (- 10.95862 \dots) + πn

Mostrar soluciones en forma decimal

x = - 0.09100 \dots + πn, x = 0.11141 \dots + πn, x = 1.45937 \dots + πn, x = - 1.47979 \dots + πn

8 cos (x + 1 0^{\circ}) = 5

cos^{2} (x) + cos (- x) = 0

x, ln (y) + y^{2} = - cos (x)

tan (x) = 1.33

cot (x) = 5