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Popular >

4cos(3x-20)=1

Solución

4 cos (3 x - 20) = 1

Solución

x = \frac{1.31811 \dots}{3} + \frac{2 πn}{3} + \frac{20}{3}, x = \frac{2 π}{3} - \frac{1.31811 \dots}{3} + \frac{2 πn}{3} + \frac{20}{3}

+1

Grados

x = 407.14602 \dots^{\circ} + 12 0^{\circ} n, x = 476.79770 \dots^{\circ} + 12 0^{\circ} n

Pasos de solución

4 cos (3 x - 20) = 1

Dividir ambos lados entre

4

4 cos (3 x - 20) = 1

Dividir ambos lados entre

4

\frac{4 cos ( 3 x - 20 )}{4} = \frac{1}{4}

Simplificar

cos (3 x - 20) = \frac{1}{4}

cos (3 x - 20) = \frac{1}{4}

Aplicar propiedades trigonométricas inversas

cos (3 x - 20) = \frac{1}{4}

Soluciones generales para

cos (3 x - 20) = \frac{1}{4}

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

3 x - 20 = arccos (\frac{1}{4}) + 2 πn, 3 x - 20 = 2 π - arccos (\frac{1}{4}) + 2 πn

3 x - 20 = arccos (\frac{1}{4}) + 2 πn, 3 x - 20 = 2 π - arccos (\frac{1}{4}) + 2 πn

Resolver

3 x - 20 = arccos (\frac{1}{4}) + 2 πn : x = \frac{arccos ( \frac{1}{4} )}{3} + \frac{2 πn}{3} + \frac{20}{3}

3 x - 20 = arccos (\frac{1}{4}) + 2 πn

Mover

20

al lado derecho

3 x - 20 = arccos (\frac{1}{4}) + 2 πn

Sumar

20

a ambos lados

3 x - 20 + 20 = arccos (\frac{1}{4}) + 2 πn + 20

Simplificar

3 x = arccos (\frac{1}{4}) + 2 πn + 20

3 x = arccos (\frac{1}{4}) + 2 πn + 20

Dividir ambos lados entre

3

3 x = arccos (\frac{1}{4}) + 2 πn + 20

Dividir ambos lados entre

3

\frac{3 x}{3} = \frac{arccos ( \frac{1}{4} )}{3} + \frac{2 πn}{3} + \frac{20}{3}

Simplificar

x = \frac{arccos ( \frac{1}{4} )}{3} + \frac{2 πn}{3} + \frac{20}{3}

x = \frac{arccos ( \frac{1}{4} )}{3} + \frac{2 πn}{3} + \frac{20}{3}

Resolver

3 x - 20 = 2 π - arccos (\frac{1}{4}) + 2 πn : x = \frac{2 π}{3} - \frac{arccos ( \frac{1}{4} )}{3} + \frac{2 πn}{3} + \frac{20}{3}

3 x - 20 = 2 π - arccos (\frac{1}{4}) + 2 πn

Mover

20

al lado derecho

3 x - 20 = 2 π - arccos (\frac{1}{4}) + 2 πn

Sumar

20

a ambos lados

3 x - 20 + 20 = 2 π - arccos (\frac{1}{4}) + 2 πn + 20

Simplificar

3 x = 2 π - arccos (\frac{1}{4}) + 2 πn + 20

3 x = 2 π - arccos (\frac{1}{4}) + 2 πn + 20

Dividir ambos lados entre

3

3 x = 2 π - arccos (\frac{1}{4}) + 2 πn + 20

Dividir ambos lados entre

3

\frac{3 x}{3} = \frac{2 π}{3} - \frac{arccos ( \frac{1}{4} )}{3} + \frac{2 πn}{3} + \frac{20}{3}

Simplificar

x = \frac{2 π}{3} - \frac{arccos ( \frac{1}{4} )}{3} + \frac{2 πn}{3} + \frac{20}{3}

x = \frac{2 π}{3} - \frac{arccos ( \frac{1}{4} )}{3} + \frac{2 πn}{3} + \frac{20}{3}

x = \frac{arccos ( \frac{1}{4} )}{3} + \frac{2 πn}{3} + \frac{20}{3}, x = \frac{2 π}{3} - \frac{arccos ( \frac{1}{4} )}{3} + \frac{2 πn}{3} + \frac{20}{3}

Mostrar soluciones en forma decimal

x = \frac{1.31811 \dots}{3} + \frac{2 πn}{3} + \frac{20}{3}, x = \frac{2 π}{3} - \frac{1.31811 \dots}{3} + \frac{2 πn}{3} + \frac{20}{3}

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0=1.9cos(0.1t)-1.25sin(0.2t)

0 = 1.9 cos (0.1 t) - 1.25 sin (0.2 t)

sin(x/4)=(sqrt(3))/2

sin (\frac{x}{4}) = \frac{3}{2}

cos(θ)=(-3+(-6))/((sqrt(9))(\sqrt{18))}

cos (θ) = \frac{- 3 + ( - 6 )}{( 9 ) ( 18 )}

sin (\frac{6}{x}) = 36

8cos(2x)+6=cos^2(x)+cos(x)

8 cos (2 x) + 6 = cos^{2} (x) + cos (x)