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Popular Trigonometría >

tan(θ+26.565)=(12.5^2)/(9.81(60))

Solución

tan (θ + 26.56 5^{\circ}) = \frac{12. 5 ^{2}}{9.81 ( 60 )}

Solución

θ = 0.25947 \dots + 18 0^{\circ} n - 26.56500 \dots^{\circ}

+1

Radianes

θ = 0.25947 \dots - \frac{571 π}{3869} + πn

Pasos de solución

tan (θ + 26.56 5^{\circ}) = \frac{12. 5 ^{2}}{9.81 ( 60 )}

Simplificar

\frac{12. 5 ^{2}}{9.81 \cdot 60} : \frac{156.25}{588.6}

\frac{12. 5 ^{2}}{9.81 \cdot 60}

Multiplicar los numeros:

9.81 \cdot 60 = 588.6

= \frac{12. 5 ^{2}}{588.6}

12. 5^{2} = 156.25

= \frac{156.25}{588.6}

Aplicar propiedades trigonométricas inversas

tan (θ + 26.56500 \dots^{\circ}) = \frac{156.25}{588.6}

Soluciones generales para

tan (θ + 26.56500 \dots^{\circ}) = \frac{156.25}{588.6}

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

θ + 26.56500 \dots^{\circ} = arctan (\frac{156.25}{588.6}) + 18 0^{\circ} n

θ + 26.56500 \dots^{\circ} = arctan (\frac{156.25}{588.6}) + 18 0^{\circ} n

Resolver

θ + 26.56500 \dots^{\circ} = arctan (\frac{156.25}{588.6}) + 18 0^{\circ} n : θ = arctan (\frac{156.25}{588.6}) + 18 0^{\circ} n - 26.56500 \dots^{\circ}

θ + 26.56500 \dots^{\circ} = arctan (\frac{156.25}{588.6}) + 18 0^{\circ} n

Desplace

26.56500 \dots^{\circ}

a la derecha

θ + 26.56500 \dots^{\circ} = arctan (\frac{156.25}{588.6}) + 18 0^{\circ} n

Restar

26.56500 \dots^{\circ}

de ambos lados

θ + 26.56500 \dots^{\circ} - 26.56500 \dots^{\circ} = arctan (\frac{156.25}{588.6}) + 18 0^{\circ} n - 26.56500 \dots^{\circ}

Simplificar

θ = arctan (\frac{156.25}{588.6}) + 18 0^{\circ} n - 26.56500 \dots^{\circ}

θ = arctan (\frac{156.25}{588.6}) + 18 0^{\circ} n - 26.56500 \dots^{\circ}

θ = arctan (\frac{156.25}{588.6}) + 18 0^{\circ} n - 26.56500 \dots^{\circ}

Mostrar soluciones en forma decimal

θ = 0.25947 \dots + 18 0^{\circ} n - 26.56500 \dots^{\circ}

Gráfica

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