Question

1+Cosx/ Senx + Senx/ 1Cosx = 2Cosecx porfavor!! ​

Answer 1

Respuesta:

Aporte

1 + cos (x) / sin (x) + sin (x) / 1 cos (x) = 2 csc (x)

Resultado

cos (x) + sin (x) cos (x) + 1 = 2 csc (x)

Formas alternativas

1/4 (5 cot (x) - cos (3 x) csc (x) + 4) = 2 csc (x)

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

-1/4 csc (x) (-4 sin (x) - 5 cos (x) + cos (3 x)) = 2 csc (x)

Forma alternativa asumiendo que x es real

sin (x) cos (x) - sin (2 x) / (cos (2 x) - 1) + 1 = - (4 sin (x)) / (cos (2 x) - 1)

Soluciones

x≈2 (3,14159 n - (0,38366 + 0,500213 i)), n elemento Z

x≈2 (3,14159 n - (0,38366 - 0,500213 i)), n elemento Z

x≈2 (3,14159 n + (1,5028 - 0,590291 i)), n elemento Z

x≈2 (3,14159 n + (1,5028 + 0,590291 i)), n elemento Z

x≈2 (3,14159 n + (0,451654 - 0,167807 i)), n elemento Z