sinx=cos19∘

Sin x =  cos (19)

sin x = .9455

arcsin (sin x) = x = arcsin (.9455) = 71 degrees

Here's one thing  to remember....because the sine and  cosine are  co-functions ......

sin (90 - x)°   = cos x°  .....so letting x  =  19°, we have that

sin (90 - 19)°  = cos 19°

sin 71°  = cos 19°

So....x  = 71°