Question

resolver: sec x + 2 tan x=0 es de trigonometria ​

Answer 1

Respuesta:

Sec(x)+2tan(x) = 0; sec(x) = 1/cos(x)

1/cos(x)+2tan(x) = 0 ; tan(x) = sen(x)/cos(x)

1/cos(x)+(2×sen(x)/cos(x)) = 0

(1/cos(x))+(2sen(x)/cos(x)) = 0

(1+2sen(x))/cos(x) = 0

cos(x)(1+2sen(x)/cos(x)) = 0(cos(x))

1+2sen(x) = 0

(1-1)+2sen(x) = 0-1

2sen(x) = -1

2sen(x)/2 = -1/2

Sen(x) = -1/2

X1 = arcsen(-1/2)

Sen(π-x) = -1/2

π-x = arcsen(-1/2)

-x = arcsen(-1/2)-π

-x/-1 = (arcsen(-1/2)/-1)+(π/-1)

x = -arcsen(-1/2)+(-π)

X2 = -arcsen(-1/2)-π

Explicación paso a paso: