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Popular Trigonometría >

885cos(θ)-70=cos(250)

Solución

885 cos (θ) - 70 = cos (25 0^{\circ})

Solución

θ = 1.49200 \dots + 36 0^{\circ} n, θ = 36 0^{\circ} - 1.49200 \dots + 36 0^{\circ} n

+1

Radianes

θ = 1.49200 \dots + 2 πn, θ = 2 π - 1.49200 \dots + 2 πn

Pasos de solución

885 cos (θ) - 70 = cos (25 0^{\circ})

Desplace

70

a la derecha

885 cos (θ) - 70 = cos (25 0^{\circ})

Sumar

70

a ambos lados

885 cos (θ) - 70 + 70 = cos (25 0^{\circ}) + 70

Simplificar

885 cos (θ) = cos (25 0^{\circ}) + 70

885 cos (θ) = cos (25 0^{\circ}) + 70

Dividir ambos lados entre

885

885 cos (θ) = cos (25 0^{\circ}) + 70

Dividir ambos lados entre

885

\frac{885 cos ( θ )}{885} = \frac{cos ( 25 0 ^{\circ} )}{885} + \frac{70}{885}

Simplificar

\frac{885 cos ( θ )}{885} = \frac{cos ( 25 0 ^{\circ} )}{885} + \frac{70}{885}

Simplificar

\frac{885 cos ( θ )}{885} : cos (θ)

\frac{885 cos ( θ )}{885}

Dividir:

\frac{885}{885} = 1

= cos (θ)

Simplificar

\frac{cos ( 25 0 ^{\circ} )}{885} + \frac{70}{885} : \frac{cos ( 25 0 ^{\circ} ) + 70}{885}

\frac{cos ( 25 0 ^{\circ} )}{885} + \frac{70}{885}

Aplicar la regla

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

= \frac{cos ( 25 0 ^{\circ} ) + 70}{885}

cos (θ) = \frac{cos ( 25 0 ^{\circ} ) + 70}{885}

cos (θ) = \frac{cos ( 25 0 ^{\circ} ) + 70}{885}

cos (θ) = \frac{cos ( 25 0 ^{\circ} ) + 70}{885}

Aplicar propiedades trigonométricas inversas

cos (θ) = \frac{cos ( 25 0 ^{\circ} ) + 70}{885}

Soluciones generales para

cos (θ) = \frac{cos ( 25 0 ^{\circ} ) + 70}{885}

cos (x) = a \Rightarrow x = arccos (a) + 36 0^{\circ} n, x = 36 0^{\circ} - arccos (a) + 36 0^{\circ} n

θ = arccos (\frac{cos ( 25 0 ^{\circ} ) + 70}{885}) + 36 0^{\circ} n, θ = 36 0^{\circ} - arccos (\frac{cos ( 25 0 ^{\circ} ) + 70}{885}) + 36 0^{\circ} n

θ = arccos (\frac{cos ( 25 0 ^{\circ} ) + 70}{885}) + 36 0^{\circ} n, θ = 36 0^{\circ} - arccos (\frac{cos ( 25 0 ^{\circ} ) + 70}{885}) + 36 0^{\circ} n

Mostrar soluciones en forma decimal

θ = 1.49200 \dots + 36 0^{\circ} n, θ = 36 0^{\circ} - 1.49200 \dots + 36 0^{\circ} n

Gráfica

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