sin(θ)=(150N)/(212.6N)(0.9063)

Solution

sin (θ) = \frac{150 N}{212.6 N} (0.9063)

θ = 0.69377 \dots + 2 πn, θ = π - 0.69377 \dots + 2 πn

Radians

θ = 0.69377 \dots + 6.28318 \dots n, θ = π - 0.69377 \dots + 6.28318 \dots n

étapes des solutions

sin (θ) = \frac{150 N}{212.6 N} (0.9063)

Simplifier

\frac{150 N}{212.6 N} \cdot 0.9063 : \frac{135.945}{212.6}

\frac{150 N}{212.6 N} \cdot 0.9063

\frac{150 N}{212.6 N} = \frac{150}{212.6}

\frac{150 N}{212.6 N}

Annuler le facteur commun :

N

= \frac{150}{212.6}

= 0.9063 \cdot \frac{150}{212.6}

Multiplier des fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{150 \cdot 0.9063}{212.6}

Multiplier les nombres :

150 \cdot 0.9063 = 135.945

= \frac{135.945}{212.6}

Appliquer les propriétés trigonométriques inverses

sin (θ) = \frac{135.945}{212.6}

Solutions générales pour

sin (θ) = \frac{135.945}{212.6}

sin (x) = a \Rightarrow x = arcsin (a) + 2 πn, x = π - arcsin (a) + 2 πn

θ = arcsin (\frac{135.945}{212.6}) + 2 πn, θ = π - arcsin (\frac{135.945}{212.6}) + 2 πn

θ = arcsin (\frac{135.945}{212.6}) + 2 πn, θ = π - arcsin (\frac{135.945}{212.6}) + 2 πn

Montrer les solutions sous la forme décimale

θ = 0.69377 \dots + 2 πn, θ = π - 0.69377 \dots + 2 πn

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