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Popular >

cos(2x)= 3/7

Solução

cos (2 x) = \frac{3}{7}

Solução

x = \frac{1.12788 \dots}{2} + πn, x = π - \frac{1.12788 \dots}{2} + πn

+1

Graus

x = 32.31153 \dots^{\circ} + 18 0^{\circ} n, x = 147.68846 \dots^{\circ} + 18 0^{\circ} n

Passos da solução

cos (2 x) = \frac{3}{7}

Aplique as propriedades trigonométricas inversas

cos (2 x) = \frac{3}{7}

Soluções gerais para

cos (2 x) = \frac{3}{7}

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

2 x = arccos (\frac{3}{7}) + 2 πn, 2 x = 2 π - arccos (\frac{3}{7}) + 2 πn

2 x = arccos (\frac{3}{7}) + 2 πn, 2 x = 2 π - arccos (\frac{3}{7}) + 2 πn

Resolver

2 x = arccos (\frac{3}{7}) + 2 πn : x = \frac{arccos ( \frac{3}{7} )}{2} + πn

2 x = arccos (\frac{3}{7}) + 2 πn

Dividir ambos os lados por

2

2 x = arccos (\frac{3}{7}) + 2 πn

Dividir ambos os lados por

2

\frac{2 x}{2} = \frac{arccos ( \frac{3}{7} )}{2} + \frac{2 πn}{2}

Simplificar

x = \frac{arccos ( \frac{3}{7} )}{2} + πn

x = \frac{arccos ( \frac{3}{7} )}{2} + πn

Resolver

2 x = 2 π - arccos (\frac{3}{7}) + 2 πn : x = π - \frac{arccos ( \frac{3}{7} )}{2} + πn

2 x = 2 π - arccos (\frac{3}{7}) + 2 πn

Dividir ambos os lados por

2

2 x = 2 π - arccos (\frac{3}{7}) + 2 πn

Dividir ambos os lados por

2

\frac{2 x}{2} = \frac{2 π}{2} - \frac{arccos ( \frac{3}{7} )}{2} + \frac{2 πn}{2}

Simplificar

x = π - \frac{arccos ( \frac{3}{7} )}{2} + πn

x = π - \frac{arccos ( \frac{3}{7} )}{2} + πn

x = \frac{arccos ( \frac{3}{7} )}{2} + πn, x = π - \frac{arccos ( \frac{3}{7} )}{2} + πn

Mostrar soluções na forma decimal

x = \frac{1.12788 \dots}{2} + πn, x = π - \frac{1.12788 \dots}{2} + πn

Exemplos populares

0 = 1 - 3 cos (θ)

(tan((3a)/2))tan(a/2)=3

(tan (\frac{3 a}{2})) tan (\frac{a}{2}) = 3

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1 = 3 sin (x)

(sin(115))/(20)=(sin(B))/(15)

\frac{sin ( 11 5 ^{\circ} )}{20} = \frac{sin ( B )}{15}

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3 tan (θ) + 1 = 2 tan (θ)