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Popular Trigonometría >

tan(x-60)=-1.26,0<= x<= 360

Solución

tan (x - 6 0^{\circ}) = - 1.26, 0^{\circ} \leq x \leq 36 0^{\circ}

Solución

x = \frac{18 0 ^{\circ} - 3 \cdot 0.89993 \dots}{3}, x = \frac{- 3 \cdot 0.89993 \dots + 72 0 ^{\circ}}{3}

+1

Radianes

x = \frac{π - 3 \cdot 0.89993 \dots}{3}, x = \frac{- 3 \cdot 0.89993 \dots + 4 π}{3}

Pasos de solución

tan (x - 6 0^{\circ}) = - 1.26, 0^{\circ} \leq x \leq 36 0^{\circ}

Aplicar propiedades trigonométricas inversas

tan (x - 6 0^{\circ}) = - 1.26

Soluciones generales para

tan (x - 6 0^{\circ}) = - 1.26

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

x - 6 0^{\circ} = arctan (- 1.26) + 18 0^{\circ} n

x - 6 0^{\circ} = arctan (- 1.26) + 18 0^{\circ} n

Resolver

x - 6 0^{\circ} = arctan (- 1.26) + 18 0^{\circ} n : x = - arctan (\frac{63}{50}) + 18 0^{\circ} n + 6 0^{\circ}

x - 6 0^{\circ} = arctan (- 1.26) + 18 0^{\circ} n

Simplificar

arctan (- 1.26) + 18 0^{\circ} n : - arctan (\frac{63}{50}) + 18 0^{\circ} n

arctan (- 1.26) + 18 0^{\circ} n

arctan (- 1.26) = - arctan (\frac{63}{50})

arctan (- 1.26)

= arctan (- \frac{63}{50})

Utilizar la siguiente propiedad:

arctan (- x) = - arctan (x)

arctan (- \frac{63}{50}) = - arctan (\frac{63}{50})

= - arctan (\frac{63}{50})

= - arctan (\frac{63}{50}) + 18 0^{\circ} n

x - 6 0^{\circ} = - arctan (\frac{63}{50}) + 18 0^{\circ} n

Desplace

6 0^{\circ}

a la derecha

x - 6 0^{\circ} = - arctan (\frac{63}{50}) + 18 0^{\circ} n

Sumar

6 0^{\circ}

a ambos lados

x - 6 0^{\circ} + 6 0^{\circ} = - arctan (\frac{63}{50}) + 18 0^{\circ} n + 6 0^{\circ}

Simplificar

x = - arctan (\frac{63}{50}) + 18 0^{\circ} n + 6 0^{\circ}

x = - arctan (\frac{63}{50}) + 18 0^{\circ} n + 6 0^{\circ}

x = - arctan (\frac{63}{50}) + 18 0^{\circ} n + 6 0^{\circ}

Soluciones para el rango

0 \leq x \leq 36 0^{\circ}

x = \frac{18 0 ^{\circ} - 3 arctan ( \frac{63}{50} )}{3}, x = \frac{- 3 arctan ( \frac{63}{50} ) + 72 0 ^{\circ}}{3}

Mostrar soluciones en forma decimal

x = \frac{18 0 ^{\circ} - 3 \cdot 0.89993 \dots}{3}, x = \frac{- 3 \cdot 0.89993 \dots + 72 0 ^{\circ}}{3}

Gráfica

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