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Popular >

(csc(x))=-csc(x)cot(x)

Solución

(csc (x)) = - csc (x) cot (x)

Solución

x = \frac{3 π}{4} + πn

+1

Grados

x = 13 5^{\circ} + 18 0^{\circ} n

Pasos de solución

(csc (x)) = - csc (x) cot (x)

Restar

- csc (x) cot (x)

de ambos lados

csc (x) + csc (x) cot (x) = 0

Factorizar

csc (x) + csc (x) cot (x) : csc (x) (cot (x) + 1)

csc (x) + csc (x) cot (x)

Factorizar el termino común

csc (x)

= csc (x) (1 + cot (x))

csc (x) (cot (x) + 1) = 0

Resolver cada parte por separado

csc (x) = 0 or cot (x) + 1 = 0

csc (x) = 0 :

Sin solución

csc (x) = 0

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

Sin soluci \overset{o}{ˊ} n

cot (x) + 1 = 0 : x = \frac{3 π}{4} + πn

cot (x) + 1 = 0

Mover

1

al lado derecho

cot (x) + 1 = 0

Restar

1

de ambos lados

cot (x) + 1 - 1 = 0 - 1

Simplificar

cot (x) = - 1

cot (x) = - 1

Soluciones generales para

cot (x) = - 1

cot (x)

tabla de valores periódicos con

πn

intervalos:

x 0 \frac{π}{6} \frac{π}{4} \frac{π}{3} \frac{π}{2} \frac{2 π}{3} \frac{3 π}{4} \frac{5 π}{6} cot (x) \mp \infty 31 \frac{3}{3} 0 - \frac{3}{3} - 1 - 3

x = \frac{3 π}{4} + πn

x = \frac{3 π}{4} + πn

Combinar toda las soluciones

x = \frac{3 π}{4} + πn

Ejemplos populares

cot (x) = - \frac{4}{3}

(cos^2(x))/(sin^2(x))=1

\frac{cos ^{2} ( x )}{sin ^{2} ( x )} = 1

solvefor x,f=(cos(2x))/(cos(x)-sin(x))resolver para

x, f = \frac{cos ( 2 x )}{cos ( x ) - sin ( x )}

cos (2 x) + 5 = 6.25

sin (x) = 4 sin (8)