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Populaire Trigonométrie >

tan(θ+26.565)=(12.5^2)/(9.81(60))

Solution

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

Solution

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

+1

Radians

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

étapes des solutions

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

Simplifier

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

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

Multiplier les nombres :

9.81 \cdot 60 = 588.6

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

12. 5^{2} = 156.25

= \frac{156.25}{588.6}

Appliquer les propriétés trigonométriques inverses

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

Solutions générales pour

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

Résoudre

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

Déplacer

26.56500 \dots^{\circ}

vers la droite

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

Soustraire

26.56500 \dots^{\circ}

des deux côtés

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

Simplifier

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}

Montrer les solutions sous la forme décimale

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

Graphe

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