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Popular >

sin^2(x)=cos(x)-cos^2(x)

Solución

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

Solución

x = 2 πn

+1

Grados

x = 0^{\circ} + 36 0^{\circ} n

Pasos de solución

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

Restar

cos (x) - cos^{2} (x)

de ambos lados

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

Re-escribir usando identidades trigonométricas

sin^{2} (x) - cos (x) + cos^{2} (x)

Utilizar la identidad pitagórica:

cos^{2} (x) + sin^{2} (x) = 1

= - cos (x) + 1

- cos (x) + 1 = 0

Mover

1

al lado derecho

- cos (x) + 1 = 0

Restar

1

de ambos lados

- cos (x) + 1 - 1 = 0 - 1

Simplificar

- cos (x) = - 1

- cos (x) = - 1

Dividir ambos lados entre

- 1

- cos (x) = - 1

Dividir ambos lados entre

- 1

\frac{- cos ( x )}{- 1} = \frac{- 1}{- 1}

Simplificar

cos (x) = 1

cos (x) = 1

Soluciones generales para

cos (x) = 1

cos (x)

tabla de valores periódicos con

2 πn

intervalos:

x 0 \frac{π}{6} \frac{π}{4} \frac{π}{3} \frac{π}{2} \frac{2 π}{3} \frac{3 π}{4} \frac{5 π}{6} cos (x) 1 \frac{3}{2} \frac{2}{2} \frac{1}{2} 0 - \frac{1}{2} - \frac{2}{2} - \frac{3}{2} x π \frac{7 π}{6} \frac{5 π}{4} \frac{4 π}{3} \frac{3 π}{2} \frac{5 π}{3} \frac{7 π}{4} \frac{11 π}{6} cos (x) - 1 - \frac{3}{2} - \frac{2}{2} - \frac{1}{2} 0 \frac{1}{2} \frac{2}{2} \frac{3}{2}

x = 0 + 2 πn

x = 0 + 2 πn

Resolver

x = 0 + 2 πn : x = 2 πn

x = 0 + 2 πn

0 + 2 πn = 2 πn

x = 2 πn

x = 2 πn

Ejemplos populares

solvefor x,arcsin(x+y)=0 resolver para

x, arcsin (x + y) = 0

1+cos(pix)=sin(pix)

1 + cos (π x) = sin (π x)

sin(x-15)=cos(20+x)

sin (x - 1 5^{\circ}) = cos (2 0^{\circ} + x)

15sin^2(x)-17sin(x)+4=0

15 sin^{2} (x) - 17 sin (x) + 4 = 0

cos(x)=(451.1)/(497)

cos (x) = \frac{451.1}{497}