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°.