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Popular >

e^{sin(x)}-2=0

Solución

e^{s i n (x)} - 2 = 0

Solución

x = 0.76584 \dots + 2 πn, x = π - 0.76584 \dots + 2 πn

+1

Grados

x = 43.87975 \dots^{\circ} + 36 0^{\circ} n, x = 136.12024 \dots^{\circ} + 36 0^{\circ} n

Pasos de solución

e^{s i n (x)} - 2 = 0

Sumar

2

a ambos lados

e^{s i n (x)} - 2 + 2 = 0 + 2

Simplificar

e^{s i n (x)} = 2

Aplicar las leyes de los exponentes

e^{s i n (x)} = 2

Si

f (x) = g (x)

, entonces

ln (f (x)) = ln (g (x))

ln (e^{s i n (x)}) = ln (2)

Aplicar las propiedades de los logaritmos:

ln (e^{a}) = a

ln (e^{s i n (x)}) = sin (x)

sin (x) = ln (2)

sin (x) = ln (2)

Aplicar propiedades trigonométricas inversas

sin (x) = ln (2)

Soluciones generales para

sin (x) = ln (2)

sin (x) = a \Rightarrow x = arcsin (a) + 2 πn, x = π - arcsin (a) + 2 πn

x = arcsin (ln (2)) + 2 πn, x = π - arcsin (ln (2)) + 2 πn

x = arcsin (ln (2)) + 2 πn, x = π - arcsin (ln (2)) + 2 πn

Mostrar soluciones en forma decimal

x = 0.76584 \dots + 2 πn, x = π - 0.76584 \dots + 2 πn

Ejemplos populares

(3cos(x)-6sin(x))^2-27sin^2(x)=-9

(3 cos (x) - 6 sin (x))^{2} - 27 sin^{2} (x) = - 9

cos(2x)=((3k-2))/3

cos (2 x) = \frac{( 3 k - 2 )}{3}

sin^2(x)-sin(x)=0,([0,2pi])

sin^{2} (x) - sin (x) = 0, ([0, 2 π])

3(cos(x)-sin(x))=0

3 (cos (x) - sin (x)) = 0

4tan(x)+4sqrt(3)=0

4 tan (x) + 43 = 0