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Popular >

((7cos(2x)+7))/2 = pi/2

Solución

\frac{( 7 cos ( 2 x ) + 7 )}{2} = \frac{π}{2}

Solución

x = \frac{2.15459 \dots}{2} + πn, x = - \frac{2.15459 \dots}{2} + πn

+1

Grados

x = 61.72472 \dots^{\circ} + 18 0^{\circ} n, x = - 61.72472 \dots^{\circ} + 18 0^{\circ} n

Pasos de solución

\frac{( 7 cos ( 2 x ) + 7 )}{2} = \frac{π}{2}

Multiplicar ambos lados por

2

\frac{7 cos ( 2 x ) + 7}{2} = \frac{π}{2}

Multiplicar ambos lados por

2

\frac{2 ( 7 cos ( 2 x ) + 7 )}{2} = \frac{2 π}{2}

Simplificar

7 cos (2 x) + 7 = π

7 cos (2 x) + 7 = π

Mover

7

al lado derecho

7 cos (2 x) + 7 = π

Restar

7

de ambos lados

7 cos (2 x) + 7 - 7 = π - 7

Simplificar

7 cos (2 x) = π - 7

7 cos (2 x) = π - 7

Dividir ambos lados entre

7

7 cos (2 x) = π - 7

Dividir ambos lados entre

7

\frac{7 cos ( 2 x )}{7} = \frac{π}{7} - \frac{7}{7}

Simplificar

\frac{7 cos ( 2 x )}{7} = \frac{π}{7} - \frac{7}{7}

Simplificar

\frac{7 cos ( 2 x )}{7} : cos (2 x)

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

Dividir:

\frac{7}{7} = 1

= cos (2 x)

Simplificar

\frac{π}{7} - \frac{7}{7} : \frac{π - 7}{7}

\frac{π}{7} - \frac{7}{7}

Aplicar la regla

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

= \frac{π - 7}{7}

cos (2 x) = \frac{π - 7}{7}

cos (2 x) = \frac{π - 7}{7}

cos (2 x) = \frac{π - 7}{7}

Aplicar propiedades trigonométricas inversas

cos (2 x) = \frac{π - 7}{7}

Soluciones generales para

cos (2 x) = \frac{π - 7}{7}

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

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

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

Resolver

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

2 x = arccos (\frac{π - 7}{7}) + 2 πn

Dividir ambos lados entre

2

2 x = arccos (\frac{π - 7}{7}) + 2 πn

Dividir ambos lados entre

2

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

Simplificar

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

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

Resolver

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

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

Dividir ambos lados entre

2

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

Dividir ambos lados entre

2

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

Simplificar

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

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

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

Mostrar soluciones en forma decimal

x = \frac{2.15459 \dots}{2} + πn, x = - \frac{2.15459 \dots}{2} + πn

Ejemplos populares

tan (x) = - 1.036

tan (2 x) = \frac{24}{7}

solvefor x,80=75-60cos(([pi*x])/(15))resolver para

x, 80 = 75 - 60 cos (\frac{[ π \cdot x ]}{15})

sin (θ) = (0.65)

cos(θ)=(800cos(70))/(425)

cos (θ) = \frac{800 cos ( 7 0 ^{\circ} )}{425}