SOLUTION: Find the exact value of the expression tan(arcsin(-sqrt2/2)) Where do I start? What formula do I use? Thank you!!!

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Question 810690: Find the exact value of the expression tan(arcsin(-sqrt2/2))
Where do I start? What formula do I use? Thank you!!!

Answer by lwsshak3(11628)   (Show Source): You can put this solution on YOUR website!
Find the exact value of the expression tan(arcsin(-sqrt2/2))
Where do I start? What formula do I use?
***
arcsin(-sqrt2/2)=an angle(call it x)whose sin=-√2/2
So, sinx=-√2/2
x=7π/4(arcsin domain:[π/2,-π/2])
tan(arcsin(-sqrt2/2))=tan 7π/4=-1

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