SOLUTION: Please help me /w evaluating this expression. arcsin(sin(7π/3)) A) 7π/3 B) π/3 C) -7π/3 D) -π/3

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Question 1062069: Please help me /w evaluating this expression.
arcsin(sin(7π/3))
A) 7π/3
B) π/3
C) -7π/3
D) -π/3

Answer by math_helper(2461)   (Show Source): You can put this solution on YOUR website!

radians
By convention, arcsin(x) is expressed as an angle between and , so as an angle in quadrants 1 or 4, where positive angles are measured counterclockwise from the positive x-axis. Only if other information is given should the angle be expressed as being quadrant 2 or 3. Also note that the angle aliases to because the latter rotates radians (one full circle is radians, but that answer does not follow the convention. So only B looks correct.

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