SOLUTION: Use the given information to determine the exact trigonometric value sin theta=-1/5, pi<theta<3pi/2, cos theta

Algebra ->  Trigonometry-basics -> SOLUTION: Use the given information to determine the exact trigonometric value sin theta=-1/5, pi<theta<3pi/2, cos theta      Log On


   

Question 864527: Use the given information to determine the exact trigonometric value sin theta=-1/5, pi
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
sin(t) = -1/5
Note: t could be in QIII or QIV
arcsin(-1/5) = -11.54 degrees or (-11.54)(pi/180) = 0.2014 radians in QIV
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arcsin(-1/5) = 180+11.54 = 191.54 degrees or 3.3430 radians in QIII
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Cheers,
Stan H.