SOLUTION: Please help!! If 0 < theta < pi/2 and 10sin theta =z, what is tan theta in terms of z?

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Question 973669: Please help!! If 0 < theta < pi/2 and 10sin theta =z, what is tan theta in terms of z?
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
If 0 < theta < pi/2 and 10sin theta =z, what is tan theta in terms of z?
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10sinx=z
sinx=z/10
cosx=√(1-sin^2(x))=√(1-z^2/100)=√((100-z^2)/(100))=√(100-z^2)/10
tanx=sinx/cosx=z/√(100-z^2)