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Popular >

42-25cos(x)=31

Solución

42 - 25 cos (x) = 31

Solución

x = 1.11519 \dots + 2 πn, x = 2 π - 1.11519 \dots + 2 πn

+1

Grados

x = 63.89611 \dots^{\circ} + 36 0^{\circ} n, x = 296.10388 \dots^{\circ} + 36 0^{\circ} n

Pasos de solución

42 - 25 cos (x) = 31

Mover

42

al lado derecho

42 - 25 cos (x) = 31

Restar

42

de ambos lados

42 - 25 cos (x) - 42 = 31 - 42

Simplificar

- 25 cos (x) = - 11

- 25 cos (x) = - 11

Dividir ambos lados entre

- 25

- 25 cos (x) = - 11

Dividir ambos lados entre

- 25

\frac{- 25 cos ( x )}{- 25} = \frac{- 11}{- 25}

Simplificar

cos (x) = \frac{11}{25}

cos (x) = \frac{11}{25}

Aplicar propiedades trigonométricas inversas

cos (x) = \frac{11}{25}

Soluciones generales para

cos (x) = \frac{11}{25}

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

x = arccos (\frac{11}{25}) + 2 πn, x = 2 π - arccos (\frac{11}{25}) + 2 πn

x = arccos (\frac{11}{25}) + 2 πn, x = 2 π - arccos (\frac{11}{25}) + 2 πn

Mostrar soluciones en forma decimal

x = 1.11519 \dots + 2 πn, x = 2 π - 1.11519 \dots + 2 πn

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solvefor c,e=r(sec(c/2)-1)resolver para

c, e = r (sec (\frac{c}{2}) - 1)