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tan(x-10)=-0.1

Solución

tan (x - 1 0^{\circ}) = - 0.1

Solución

x = - 0.09966 \dots + 18 0^{\circ} n + 1 0^{\circ}

+1

radianes

x = - 0.09966 \dots + \frac{π}{18} + πn

Pasos de solución

tan (x - 1 0^{\circ}) = - 0.1

Aplicar propiedades trigonométricas inversas

tan (x - 1 0^{\circ}) = - 0.1

Soluciones generales para

tan (x - 1 0^{\circ}) = - 0.1

tan (x) = - a \Rightarrow x = arctan (- a) + 18 0^{\circ} n

x - 1 0^{\circ} = arctan (- 0.1) + 18 0^{\circ} n

x - 1 0^{\circ} = arctan (- 0.1) + 18 0^{\circ} n

Resolver

x - 1 0^{\circ} = arctan (- 0.1) + 18 0^{\circ} n : x = - arctan (\frac{1}{10}) + 18 0^{\circ} n + 1 0^{\circ}

x - 1 0^{\circ} = arctan (- 0.1) + 18 0^{\circ} n

Simplificar

arctan (- 0.1) + 18 0^{\circ} n : - arctan (\frac{1}{10}) + 18 0^{\circ} n

arctan (- 0.1) + 18 0^{\circ} n

arctan (- 0.1) = - arctan (\frac{1}{10})

arctan (- 0.1)

= arctan (- \frac{1}{10})

Utilizar la siguiente propiedad:

arctan (- x) = - arctan (x)

arctan (- \frac{1}{10}) = - arctan (\frac{1}{10})

= - arctan (\frac{1}{10})

= - arctan (\frac{1}{10}) + 18 0^{\circ} n

x - 1 0^{\circ} = - arctan (\frac{1}{10}) + 18 0^{\circ} n

Mover

1 0^{\circ}

al lado derecho

x - 1 0^{\circ} = - arctan (\frac{1}{10}) + 18 0^{\circ} n

Sumar

1 0^{\circ}

a ambos lados

x - 1 0^{\circ} + 1 0^{\circ} = - arctan (\frac{1}{10}) + 18 0^{\circ} n + 1 0^{\circ}

Simplificar

x = - arctan (\frac{1}{10}) + 18 0^{\circ} n + 1 0^{\circ}

x = - arctan (\frac{1}{10}) + 18 0^{\circ} n + 1 0^{\circ}

x = - arctan (\frac{1}{10}) + 18 0^{\circ} n + 1 0^{\circ}

Mostrar soluciones en forma decimal

x = - 0.09966 \dots + 18 0^{\circ} n + 1 0^{\circ}

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