Respuesta :

x=90
sin90=1
cos19 x 1=cos19

Answer:

The value of x is 71°.

Step-by-step explanation:

The given equation is

[tex]\sin x=\cos 19^{\circ}[/tex]

According to the property of trigonometry,

[tex]\cos\theta^{\circ}=\sin (90-\theta)^{\circ}[/tex]

Using the property of trigonometry,

[tex]\sin x=\sin (90-19)^{\circ}[/tex]

[tex]\sin x=\sin (71)^{\circ}[/tex]

On equating both the sides we get

[tex]x=71^{\circ}[/tex]

Therefore the value of x is 71°.