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Popular >

solvefor x,sin^2(y)+cos(x)y=k

Solución

resolver para

x, sin^{2} (y) + cos (x) y = k

Solución

x = arccos (\frac{k - sin ^{2} ( y )}{y}) + 2 πn, x = - arccos (\frac{k - sin ^{2} ( y )}{y}) + 2 πn

Pasos de solución

sin^{2} (y) + cos (x) y = k

Mover

sin^{2} (y)

al lado derecho

sin^{2} (y) + cos (x) y = k

Restar

sin^{2} (y)

de ambos lados

sin^{2} (y) + cos (x) y - sin^{2} (y) = k - sin^{2} (y)

Simplificar

cos (x) y = k - sin^{2} (y)

cos (x) y = k - sin^{2} (y)

Dividir ambos lados entre

y; y \neq = 0

cos (x) y = k - sin^{2} (y)

Dividir ambos lados entre

y; y \neq = 0

\frac{cos ( x ) y}{y} = \frac{k}{y} - \frac{sin ^{2} ( y )}{y}; y \neq = 0

Simplificar

\frac{cos ( x ) y}{y} = \frac{k}{y} - \frac{sin ^{2} ( y )}{y}

Simplificar

\frac{cos ( x ) y}{y} : cos (x)

\frac{cos ( x ) y}{y}

Eliminar los terminos comunes:

y

= cos (x)

Simplificar

\frac{k}{y} - \frac{sin ^{2} ( y )}{y} : \frac{k - sin ^{2} ( y )}{y}

\frac{k}{y} - \frac{sin ^{2} ( y )}{y}

Aplicar la regla

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

= \frac{k - sin ^{2} ( y )}{y}

cos (x) = \frac{k - sin ^{2} ( y )}{y}; y \neq = 0

cos (x) = \frac{k - sin ^{2} ( y )}{y}; y \neq = 0

cos (x) = \frac{k - sin ^{2} ( y )}{y}; y \neq = 0

Aplicar propiedades trigonométricas inversas

cos (x) = \frac{k - sin ^{2} ( y )}{y}

Soluciones generales para

cos (x) = \frac{k - sin ^{2} ( y )}{y}

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

x = arccos (\frac{k - sin ^{2} ( y )}{y}) + 2 πn, x = - arccos (\frac{k - sin ^{2} ( y )}{y}) + 2 πn

x = arccos (\frac{k - sin ^{2} ( y )}{y}) + 2 πn, x = - arccos (\frac{k - sin ^{2} ( y )}{y}) + 2 πn

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sin(60)= x/(32)

sin (6 0^{\circ}) = \frac{x}{32}

solvefor i,sin^2(x)=sin(x^2)resolver para

i, sin^{2} (x) = sin (x^{2})

solvefor c,sin^3(x)-cos^3(x)=sin(x)+cos(x)resolver para

c, sin^{3} (x) - cos^{3} (x) = sin (x) + cos (x)

solvefor c,cos^2(x)+cos(x)=sin(x)resolver para

c, cos^{2} (x) + cos (x) = sin (x)