- #1
DryRun
Gold Member
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- 4
Homework Statement
Find all solutions of inverse sine (-1/2). Angles lie between 0 and 2∏.
The attempt at a solution
I know it sounds very simple, but i must be having some of the basics wrong, as i can't figure out the second solution.
I used the calculator (in radian mode) to find inverse of sin (-1/2) which gives -∏/6
Since the value of inverse sin (-1/2) must be between 0 and 2∏, i went with the automatic reflex of adding 2∏ to that answer which gives 11∏/6 but then i checked the answer and there is a second solution! And i have no idea how to get that second solution. I need to know a simple, yet consistent method that i can use across all problems of that type, if that's possible.
Find all solutions of inverse sine (-1/2). Angles lie between 0 and 2∏.
The attempt at a solution
I know it sounds very simple, but i must be having some of the basics wrong, as i can't figure out the second solution.
I used the calculator (in radian mode) to find inverse of sin (-1/2) which gives -∏/6
Since the value of inverse sin (-1/2) must be between 0 and 2∏, i went with the automatic reflex of adding 2∏ to that answer which gives 11∏/6 but then i checked the answer and there is a second solution! And i have no idea how to get that second solution. I need to know a simple, yet consistent method that i can use across all problems of that type, if that's possible.