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Popular >

(10710cos(2a))+336.22=0

Solução

(10710 \cdot cos (2 \cdot a)) + 336.22 = 0

Solução

a = \frac{1.60219 \dots}{2} + πn, a = - \frac{1.60219 \dots}{2} + πn

+1

Graus

a = 45.89949 \dots^{\circ} + 18 0^{\circ} n, a = - 45.89949 \dots^{\circ} + 18 0^{\circ} n

Passos da solução

(10710 cos (2 a)) + 336.22 = 0

Mova

336.22

para o lado direito

10710 cos (2 a) + 336.22 = 0

Subtrair

336.22

de ambos os lados

10710 cos (2 a) + 336.22 - 336.22 = 0 - 336.22

Simplificar

10710 cos (2 a) = - 336.22

10710 cos (2 a) = - 336.22

Dividir ambos os lados por

10710

10710 cos (2 a) = - 336.22

Dividir ambos os lados por

10710

\frac{10710 cos ( 2 a )}{10710} = \frac{- 336.22}{10710}

Simplificar

\frac{10710 cos ( 2 a )}{10710} = \frac{- 336.22}{10710}

Simplificar

\frac{10710 cos ( 2 a )}{10710} : cos (2 a)

\frac{10710 cos ( 2 a )}{10710}

Dividir:

\frac{10710}{10710} = 1

= cos (2 a)

Simplificar

\frac{- 336.22}{10710} : - 0.03139 \dots

\frac{- 336.22}{10710}

Aplicar as propriedades das frações:

\frac{- a}{b} = - \frac{a}{b}

= - \frac{336.22}{10710}

Dividir:

\frac{336.22}{10710} = 0.03139 \dots

= - 0.03139 \dots

cos (2 a) = - 0.03139 \dots

cos (2 a) = - 0.03139 \dots

cos (2 a) = - 0.03139 \dots

Aplique as propriedades trigonométricas inversas

cos (2 a) = - 0.03139 \dots

Soluções gerais para

cos (2 a) = - 0.03139 \dots

cos (x) = - a \Rightarrow x = arccos (- a) + 2 πn, x = - arccos (- a) + 2 πn

2 a = arccos (- 0.03139 \dots) + 2 πn, 2 a = - arccos (- 0.03139 \dots) + 2 πn

2 a = arccos (- 0.03139 \dots) + 2 πn, 2 a = - arccos (- 0.03139 \dots) + 2 πn

Resolver

2 a = arccos (- 0.03139 \dots) + 2 πn : a = \frac{arccos ( - 0.03139 \dots )}{2} + πn

2 a = arccos (- 0.03139 \dots) + 2 πn

Dividir ambos os lados por

2

2 a = arccos (- 0.03139 \dots) + 2 πn

Dividir ambos os lados por

2

\frac{2 a}{2} = \frac{arccos ( - 0.03139 \dots )}{2} + \frac{2 πn}{2}

Simplificar

a = \frac{arccos ( - 0.03139 \dots )}{2} + πn

a = \frac{arccos ( - 0.03139 \dots )}{2} + πn

Resolver

2 a = - arccos (- 0.03139 \dots) + 2 πn : a = - \frac{arccos ( - 0.03139 \dots )}{2} + πn

2 a = - arccos (- 0.03139 \dots) + 2 πn

Dividir ambos os lados por

2

2 a = - arccos (- 0.03139 \dots) + 2 πn

Dividir ambos os lados por

2

\frac{2 a}{2} = - \frac{arccos ( - 0.03139 \dots )}{2} + \frac{2 πn}{2}

Simplificar

a = - \frac{arccos ( - 0.03139 \dots )}{2} + πn

a = - \frac{arccos ( - 0.03139 \dots )}{2} + πn

a = \frac{arccos ( - 0.03139 \dots )}{2} + πn, a = - \frac{arccos ( - 0.03139 \dots )}{2} + πn

Mostrar soluções na forma decimal

a = \frac{1.60219 \dots}{2} + πn, a = - \frac{1.60219 \dots}{2} + πn

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32=37.3*sin((2pi)/(365)(x-114))+26

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