es

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

4cos(x^2)-3=0

Solución

4 cos (x^{2}) - 3 = 0

Solución

x = 0.72273 \dots + 2 πn, x = - 0.72273 \dots + 2 πn, x = 2 π - 0.72273 \dots + 2 πn, x = - 2 π - 0.72273 \dots + 2 πn

+1

Grados

x = 0^{\circ} + 151.65446 \dots^{\circ} n, x = 0^{\circ} - 151.65446 \dots^{\circ} n, x = 0^{\circ} + 197.18104 \dots^{\circ} n, x = 0^{\circ} - 197.18104 \dots^{\circ} n

Pasos de solución

4 cos (x^{2}) - 3 = 0

Mover

3

al lado derecho

4 cos (x^{2}) - 3 = 0

Sumar

3

a ambos lados

4 cos (x^{2}) - 3 + 3 = 0 + 3

Simplificar

4 cos (x^{2}) = 3

4 cos (x^{2}) = 3

Dividir ambos lados entre

4

4 cos (x^{2}) = 3

Dividir ambos lados entre

4

\frac{4 cos ( x ^{2} )}{4} = \frac{3}{4}

Simplificar

cos (x^{2}) = \frac{3}{4}

cos (x^{2}) = \frac{3}{4}

Aplicar propiedades trigonométricas inversas

cos (x^{2}) = \frac{3}{4}

Soluciones generales para

cos (x^{2}) = \frac{3}{4}

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

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

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

Resolver

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

x^{2} = arccos (\frac{3}{4}) + 2 πn

Para

x^{2} = f (a)

las soluciones son

x = f (a), - f (a)

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

Resolver

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

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

Para

x^{2} = f (a)

las soluciones son

x = f (a), - f (a)

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

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

Mostrar soluciones en forma decimal

x = 0.72273 \dots + 2 πn, x = - 0.72273 \dots + 2 πn, x = 2 π - 0.72273 \dots + 2 πn, x = - 2 π - 0.72273 \dots + 2 πn

Ejemplos populares

sin(x)+1=0,0<= x<2pi

sin (x) + 1 = 0, 0 \leq x < 2 π

solvefor θ,sin^2(θ)= 1/4 resolver para

θ, sin^{2} (θ) = \frac{1}{4}

cot(θ)=sqrt(3),0<= θ<2pi

cot (θ) = 3, 0 \leq θ < 2 π

(2 cos (2 θ)) = 2

5sin^2(x)=9tan(x)

5 sin^{2} (x) = 9 tan (x)