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Popular >

tan(x)3cot(x)=5sec(x)

Solución

tan (x) 3 cot (x) = 5 sec (x)

Solución

Sin soluci \overset{o}{ˊ} n para x \in R

Pasos de solución

tan (x) \cdot 3 cot (x) = 5 sec (x)

Restar

5 sec (x)

de ambos lados

3 tan (x) cot (x) - 5 sec (x) = 0

Re-escribir usando identidades trigonométricas

- 5 sec (x) + 3 cot (x) tan (x)

Utilizar la identidad trigonométrica básica:

tan (x) = \frac{1}{cot ( x )}

= - 5 sec (x) + 3 cot (x) \frac{1}{cot ( x )}

3 cot (x) \frac{1}{cot ( x )} = 3

3 cot (x) \frac{1}{cot ( x )}

Multiplicar fracciones:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{1 \cdot 3 cot ( x )}{cot ( x )}

Eliminar los terminos comunes:

cot (x)

= 1 \cdot 3

Multiplicar los numeros:

1 \cdot 3 = 3

= 3

= - 5 sec (x) + 3

3 - 5 sec (x) = 0

Mover

3

al lado derecho

3 - 5 sec (x) = 0

Restar

3

de ambos lados

3 - 5 sec (x) - 3 = 0 - 3

Simplificar

- 5 sec (x) = - 3

- 5 sec (x) = - 3

Dividir ambos lados entre

- 5

- 5 sec (x) = - 3

Dividir ambos lados entre

- 5

\frac{- 5 sec ( x )}{- 5} = \frac{- 3}{- 5}

Simplificar

sec (x) = \frac{3}{5}

sec (x) = \frac{3}{5}

sec (x) \leq - 1 or sec (x) \geq 1

Sin soluci \overset{o}{ˊ} n para x \in R

Ejemplos populares

10 cos (θ) = 5

solvefor x,cot(x)=-1 resolver para

x, cot (x) = - 1

csc^2(x)-5csc(x)=0

csc^{2} (x) - 5 csc (x) = 0

sin (2 x) = 0.2

sin (2 x) = 0.9