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Popular >

0.2=cos(2pit)

Solución

0.2 = cos (2 π t)

Solución

t = \frac{1.36943 \dots}{2 π} + n, t = 1 - \frac{1.36943 \dots}{2 π} + n

+1

Grados

t = 12.48778 \dots^{\circ}, t = 44.80799 \dots^{\circ}

Pasos de solución

0.2 = cos (2 π t)

Intercambiar lados

cos (2 π t) = 0.2

Aplicar propiedades trigonométricas inversas

cos (2 π t) = 0.2

Soluciones generales para

cos (2 π t) = 0.2

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

2 π t = arccos (0.2) + 2 πn, 2 π t = 2 π - arccos (0.2) + 2 πn

2 π t = arccos (0.2) + 2 πn, 2 π t = 2 π - arccos (0.2) + 2 πn

Resolver

2 π t = arccos (0.2) + 2 πn : t = \frac{arccos ( 0.2 )}{2 π} + n

2 π t = arccos (0.2) + 2 πn

Dividir ambos lados entre

2 π

2 π t = arccos (0.2) + 2 πn

Dividir ambos lados entre

2 π

\frac{2 π t}{2 π} = \frac{arccos ( 0.2 )}{2 π} + \frac{2 πn}{2 π}

Simplificar

\frac{2 π t}{2 π} = \frac{arccos ( 0.2 )}{2 π} + \frac{2 πn}{2 π}

Simplificar

\frac{2 π t}{2 π} : t

\frac{2 π t}{2 π}

Dividir:

\frac{2}{2} = 1

= \frac{π t}{π}

Eliminar los terminos comunes:

π

= t

Simplificar

\frac{arccos ( 0.2 )}{2 π} + \frac{2 πn}{2 π} : \frac{arccos ( 0.2 )}{2 π} + n

\frac{arccos ( 0.2 )}{2 π} + \frac{2 πn}{2 π}

Cancelar

\frac{2 πn}{2 π} : n

\frac{2 πn}{2 π}

Cancelar

\frac{2 πn}{2 π} : n

\frac{2 πn}{2 π}

Dividir:

\frac{2}{2} = 1

= \frac{πn}{π}

Eliminar los terminos comunes:

π

= n

= n

= \frac{arccos ( 0.2 )}{2 π} + n

t = \frac{arccos ( 0.2 )}{2 π} + n

t = \frac{arccos ( 0.2 )}{2 π} + n

t = \frac{arccos ( 0.2 )}{2 π} + n

Resolver

2 π t = 2 π - arccos (0.2) + 2 πn : t = 1 - \frac{arccos ( 0.2 )}{2 π} + n

2 π t = 2 π - arccos (0.2) + 2 πn

Dividir ambos lados entre

2 π

2 π t = 2 π - arccos (0.2) + 2 πn

Dividir ambos lados entre

2 π

\frac{2 π t}{2 π} = \frac{2 π}{2 π} - \frac{arccos ( 0.2 )}{2 π} + \frac{2 πn}{2 π}

Simplificar

\frac{2 π t}{2 π} = \frac{2 π}{2 π} - \frac{arccos ( 0.2 )}{2 π} + \frac{2 πn}{2 π}

Simplificar

\frac{2 π t}{2 π} : t

\frac{2 π t}{2 π}

Dividir:

\frac{2}{2} = 1

= \frac{π t}{π}

Eliminar los terminos comunes:

π

= t

Simplificar

\frac{2 π}{2 π} - \frac{arccos ( 0.2 )}{2 π} + \frac{2 πn}{2 π} : 1 - \frac{arccos ( 0.2 )}{2 π} + n

\frac{2 π}{2 π} - \frac{arccos ( 0.2 )}{2 π} + \frac{2 πn}{2 π}

Aplicar la regla

\frac{a}{a} = 1

\frac{2 π}{2 π} = 1

= 1 - \frac{arccos ( 0.2 )}{2 π} + \frac{2 πn}{2 π}

Cancelar

\frac{2 πn}{2 π} : n

\frac{2 πn}{2 π}

Cancelar

\frac{2 πn}{2 π} : n

\frac{2 πn}{2 π}

Dividir:

\frac{2}{2} = 1

= \frac{πn}{π}

Eliminar los terminos comunes:

π

= n

= n

= 1 - \frac{arccos ( 0.2 )}{2 π} + n

t = 1 - \frac{arccos ( 0.2 )}{2 π} + n

t = 1 - \frac{arccos ( 0.2 )}{2 π} + n

t = 1 - \frac{arccos ( 0.2 )}{2 π} + n

t = \frac{arccos ( 0.2 )}{2 π} + n, t = 1 - \frac{arccos ( 0.2 )}{2 π} + n

Mostrar soluciones en forma decimal

t = \frac{1.36943 \dots}{2 π} + n, t = 1 - \frac{1.36943 \dots}{2 π} + n

Ejemplos populares

4cos^2(2x)-1=1,0<= x<= 2pi

4 cos^{2} (2 x) - 1 = 1, 0 \leq x \leq 2 π

sec(β/4)csc(β/4)=2csc(β/4)

sec (\frac{β}{4}) csc (\frac{β}{4}) = 2 csc (\frac{β}{4})

sin (x) = \frac{1}{7}

tan (\frac{θ}{2}) = - 1

tan (\frac{θ}{2}) = 1