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Popular >

10cos(x)=2.5sin(x)

Solución

10 cos (x) = 2.5 sin (x)

Solución

x = 1.32581 \dots + πn

Grados

x = 75.96375 \dots^{\circ} + 18 0^{\circ} n

Pasos de solución

10 cos (x) = 2.5 sin (x)

Re-escribir usando identidades trigonométricas

10 cos (x) = 2.5 sin (x)

Dividir ambos lados entre

cos (x), cos (x) \neq = 0

\frac{10 cos ( x )}{cos ( x )} = \frac{2.5 sin ( x )}{cos ( x )}

Simplificar

10 = \frac{2.5 sin ( x )}{cos ( x )}

Utilizar la identidad trigonométrica básica:

\frac{sin ( x )}{cos ( x )} = tan (x)

10 = 2.5 tan (x)

Intercambiar lados

2.5 tan (x) = 10

2.5 tan (x) = 10

Multiplicar ambos lados por

10

2.5 tan (x) = 10

To eliminate decimal points, multiply by 10 for every digit after the decimal pointThere is one digit to the right of the decimal point, therefore multiply by

10

2.5 tan (x) \cdot 10 = 10 \cdot 10

Simplificar

25 tan (x) = 100

25 tan (x) = 100

Dividir ambos lados entre

25

25 tan (x) = 100

Dividir ambos lados entre

25

\frac{25 tan ( x )}{25} = \frac{100}{25}

Simplificar

tan (x) = 4

tan (x) = 4

Aplicar propiedades trigonométricas inversas

tan (x) = 4

Soluciones generales para

tan (x) = 4

tan (x) = a \Rightarrow x = arctan (a) + πn

x = arctan (4) + πn

x = arctan (4) + πn

Mostrar soluciones en forma decimal

x = 1.32581 \dots + πn

Ejemplos populares

sin(0.6)-sin(0.6+x)=0.95

sin (0.6) - sin (0.6 + x) = 0.95

tan(x)= 56/91

tan (x) = \frac{56}{91}

solvefor x,tan(x)=cot(x)resolver para

x, tan (x) = cot (x)

arccos(x)= 5/6

arccos (x) = \frac{5}{6}

5cos(x)=-2sin^2(x)+4,0<= x<= 2pi

5 cos (x) = - 2 sin^{2} (x) + 4, 0 \leq x \leq 2 π