SOLUTION: Find the exact value of the following expression. sin inverse (sin 5pie/9)

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Question 841696: Find the exact value of the following expression.
sin inverse (sin 5pie/9)
Answer by fcabanski(1391) About Me  (Show Source):
You can put this solution on YOUR website!
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The domain of sin is -pi/2 to pi/2. 5pi/9 falls outside that domain. So, when taking the inverse function of the sin function for a value outside the sin function's domain, you have to pick the value inside the domain that has the same sin.


sin(5pi/9) = sin(4pi/9)