Arcsin problems

[Loki123]

I got so confused. I tried to solve for x using arcsin and I got a completely different answer. Mine is left. Correct is right. I tried to write it like I would with sin. Where did I go wrong?

 

[Loki123]

I got so confused. I tried to solve for x using arcsin and I got a completely different answer. Mine is left. Correct is right. I tried to write it like I would with sin. Where did I go wrong? View attachment 30883

I should probably rest for a bit seeing I made a hugeee mistake. Basically wherever there is arcsin, arccos, after should be what I circled and wrote negative.

 

[Harry_the_cat]

Have another go and let us check it for you.