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Popular >

7.5sin(x)=3.4cos(x)

Solución

7.5 sin (x) = 3.4 cos (x)

Solución

x = 0.42562 \dots + πn

Grados

x = 24.38637 \dots^{\circ} + 18 0^{\circ} n

Pasos de solución

7.5 sin (x) = 3.4 cos (x)

Re-escribir usando identidades trigonométricas

7.5 sin (x) = 3.4 cos (x)

Dividir ambos lados entre

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

\frac{7.5 sin ( x )}{cos ( x )} = \frac{3.4 cos ( x )}{cos ( x )}

Simplificar

\frac{7.5 sin ( x )}{cos ( x )} = 3.4

Utilizar la identidad trigonométrica básica:

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

7.5 tan (x) = 3.4

7.5 tan (x) = 3.4

Multiplicar ambos lados por

10

7.5 tan (x) = 3.4

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

7.5 tan (x) \cdot 10 = 3.4 \cdot 10

Simplificar

75 tan (x) = 34

75 tan (x) = 34

Dividir ambos lados entre

75

75 tan (x) = 34

Dividir ambos lados entre

75

\frac{75 tan ( x )}{75} = \frac{34}{75}

Simplificar

tan (x) = \frac{34}{75}

tan (x) = \frac{34}{75}

Aplicar propiedades trigonométricas inversas

tan (x) = \frac{34}{75}

Soluciones generales para

tan (x) = \frac{34}{75}

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

x = arctan (\frac{34}{75}) + πn

x = arctan (\frac{34}{75}) + πn

Mostrar soluciones en forma decimal

x = 0.42562 \dots + πn

Ejemplos populares

sec(θ)=8,tan(θ)=3sqrt(7)

sec (θ) = 8, tan (θ) = 37

tan(3x-4)=(-1)/2

tan (3 x - 4) = \frac{- 1}{2}

picos(2θ)=0

π cos (2 θ) = 0

2+sqrt(3)sec(x)-4cos(x)=2sqrt(3)

2 + 3 sec (x) - 4 cos (x) = 23

4sin(x)*cos(x)=2sin(x)

4 sin (x) \cdot cos (x) = 2 sin (x)