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Popular >

csc(θ/2)=sin(θ/2)

Solución

csc (\frac{θ}{2}) = sin (\frac{θ}{2})

Solución

θ = π + 4 πn, θ = 3 π + 4 πn

+1

Pasos de solución

csc (\frac{θ}{2}) = sin (\frac{θ}{2})

Restar

sin (\frac{θ}{2})

de ambos lados

csc (\frac{θ}{2}) - sin (\frac{θ}{2}) = 0

Re-escribir usando identidades trigonométricas

csc (\frac{θ}{2}) - \frac{1}{csc ( \frac{θ}{2} )} = 0

Usando el método de sustitución

csc (\frac{θ}{2}) = 1, csc (\frac{θ}{2}) = - 1

csc (\frac{θ}{2}) = 1 : θ = π + 4 πn

csc (\frac{θ}{2}) = - 1 : θ = 3 π + 4 πn

Combinar toda las soluciones

θ = π + 4 πn, θ = 3 π + 4 πn

Ejemplos populares

sin(3x)=-1,0<= x<= 2pi

sin (3 x) = - 1, 0 \leq x \leq 2 π

sin (θ) = 0.25

30^2=20^2+18^2-2(20)(18)cos(A)

3 0^{2} = 2 0^{2} + 1 8^{2} - 2 (20) (18) cos (A)

cos(x)= 308/1475

cos (x) = \frac{308}{1475}

tan (θ) = \frac{6}{3}