How do you find the exact value of $arcsin [sin{(7pi)/6}]$ ?

Question

3347 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-06-14T09:23:54

$(7pi)/6$

arcsin and sin are opposite (=inverse) functions, just like square and square root.

arcsin says: "give me the angle that belongs to a certain sine"

sin says: "give me the sine of a certain angle"

Together:
"Give me the angle that belongs to the sine of that same angle"

How do you find the exact value of arcsin [sin{(7pi)/6}]arcsin [sin{(7pi)/6}]?