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Popular >

10=3.44sin(0.51t+4.11)+9.48

Solución

10 = 3.44 sin (0.51 t + 4.11) + 9.48

Solución

t = \frac{0.15174 \dots}{0.51} + \frac{2 πn}{0.51} - \frac{4.11}{0.51}, t = \frac{π}{0.51} - \frac{0.15174 \dots}{0.51} + \frac{2 πn}{0.51} - \frac{4.11}{0.51}

Grados

t = - 444.68889 \dots^{\circ} + 705.88235 \dots^{\circ} n, t = - 125.84308 \dots^{\circ} + 705.88235 \dots^{\circ} n

Pasos de solución

10 = 3.44 sin (0.51 t + 4.11) + 9.48

Intercambiar lados

3.44 sin (0.51 t + 4.11) + 9.48 = 10

Multiplicar ambos lados por

100

3.44 sin (0.51 t + 4.11) + 9.48 = 10

To eliminate decimal points, multiply by 10 for every digit after the decimal pointThere are

2

digits to the right of the decimal point, therefore multiply by

100

3.44 sin (0.51 t + 4.11) \cdot 100 + 9.48 \cdot 100 = 10 \cdot 100

Simplificar

344 sin (0.51 t + 4.11) + 948 = 1000

344 sin (0.51 t + 4.11) + 948 = 1000

Mover

948

al lado derecho

344 sin (0.51 t + 4.11) + 948 = 1000

Restar

948

de ambos lados

344 sin (0.51 t + 4.11) + 948 - 948 = 1000 - 948

Simplificar

344 sin (0.51 t + 4.11) = 52

344 sin (0.51 t + 4.11) = 52

Dividir ambos lados entre

344

344 sin (0.51 t + 4.11) = 52

Dividir ambos lados entre

344

\frac{344 sin ( 0.51 t + 4.11 )}{344} = \frac{52}{344}

Simplificar

sin (0.51 t + 4.11) = \frac{13}{86}

sin (0.51 t + 4.11) = \frac{13}{86}

Aplicar propiedades trigonométricas inversas

sin (0.51 t + 4.11) = \frac{13}{86}

Soluciones generales para

sin (0.51 t + 4.11) = \frac{13}{86}

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

0.51 t + 4.11 = arcsin (\frac{13}{86}) + 2 πn, 0.51 t + 4.11 = π - arcsin (\frac{13}{86}) + 2 πn

0.51 t + 4.11 = arcsin (\frac{13}{86}) + 2 πn, 0.51 t + 4.11 = π - arcsin (\frac{13}{86}) + 2 πn

Resolver

0.51 t + 4.11 = arcsin (\frac{13}{86}) + 2 πn : t = \frac{arcsin ( \frac{13}{86} )}{0.51} + \frac{2 πn}{0.51} - \frac{4.11}{0.51}

0.51 t + 4.11 = arcsin (\frac{13}{86}) + 2 πn

Mover

4.11

al lado derecho

0.51 t + 4.11 = arcsin (\frac{13}{86}) + 2 πn

Restar

4.11

de ambos lados

0.51 t + 4.11 - 4.11 = arcsin (\frac{13}{86}) + 2 πn - 4.11

Simplificar

0.51 t = arcsin (\frac{13}{86}) + 2 πn - 4.11

0.51 t = arcsin (\frac{13}{86}) + 2 πn - 4.11

Dividir ambos lados entre

0.51

0.51 t = arcsin (\frac{13}{86}) + 2 πn - 4.11

Dividir ambos lados entre

0.51

\frac{0.51 t}{0.51} = \frac{arcsin ( \frac{13}{86} )}{0.51} + \frac{2 πn}{0.51} - \frac{4.11}{0.51}

Simplificar

t = \frac{arcsin ( \frac{13}{86} )}{0.51} + \frac{2 πn}{0.51} - \frac{4.11}{0.51}

t = \frac{arcsin ( \frac{13}{86} )}{0.51} + \frac{2 πn}{0.51} - \frac{4.11}{0.51}

Resolver

0.51 t + 4.11 = π - arcsin (\frac{13}{86}) + 2 πn : t = \frac{π}{0.51} - \frac{arcsin ( \frac{13}{86} )}{0.51} + \frac{2 πn}{0.51} - \frac{4.11}{0.51}

0.51 t + 4.11 = π - arcsin (\frac{13}{86}) + 2 πn

Mover

4.11

al lado derecho

0.51 t + 4.11 = π - arcsin (\frac{13}{86}) + 2 πn

Restar

4.11

de ambos lados

0.51 t + 4.11 - 4.11 = π - arcsin (\frac{13}{86}) + 2 πn - 4.11

Simplificar

0.51 t = π - arcsin (\frac{13}{86}) + 2 πn - 4.11

0.51 t = π - arcsin (\frac{13}{86}) + 2 πn - 4.11

Dividir ambos lados entre

0.51

0.51 t = π - arcsin (\frac{13}{86}) + 2 πn - 4.11

Dividir ambos lados entre

0.51

\frac{0.51 t}{0.51} = \frac{π}{0.51} - \frac{arcsin ( \frac{13}{86} )}{0.51} + \frac{2 πn}{0.51} - \frac{4.11}{0.51}

Simplificar

t = \frac{π}{0.51} - \frac{arcsin ( \frac{13}{86} )}{0.51} + \frac{2 πn}{0.51} - \frac{4.11}{0.51}

t = \frac{π}{0.51} - \frac{arcsin ( \frac{13}{86} )}{0.51} + \frac{2 πn}{0.51} - \frac{4.11}{0.51}

t = \frac{arcsin ( \frac{13}{86} )}{0.51} + \frac{2 πn}{0.51} - \frac{4.11}{0.51}, t = \frac{π}{0.51} - \frac{arcsin ( \frac{13}{86} )}{0.51} + \frac{2 πn}{0.51} - \frac{4.11}{0.51}

Mostrar soluciones en forma decimal

t = \frac{0.15174 \dots}{0.51} + \frac{2 πn}{0.51} - \frac{4.11}{0.51}, t = \frac{π}{0.51} - \frac{0.15174 \dots}{0.51} + \frac{2 πn}{0.51} - \frac{4.11}{0.51}

Ejemplos populares

2cot^2(z)+5=7csc(z)

2 cot^{2} (z) + 5 = 7 csc (z)

sin^2(x)=6

sin^{2} (x) = 6

sin^2(φ)+cos^2(φ)=2

sin^{2} (φ) + cos^{2} (φ) = 2

solvefor x,y^2(2+sin(x))=1 resolver para

x, y^{2} (2 + sin (x)) = 1

sqrt(2)=cos(x)+sin(x)

2 = cos (x) + sin (x)