SOLUTION: Given tanx= {{{ sqrt(33)/4 }}} and sinx<0, find the values of sinx and cosx. With this information, I would think that it is located in quadrant IV, but the answer shows that it

Algebra ->  Trigonometry-basics -> SOLUTION: Given tanx= {{{ sqrt(33)/4 }}} and sinx<0, find the values of sinx and cosx. With this information, I would think that it is located in quadrant IV, but the answer shows that it      Log On


   



Question 819402: Given tanx= +sqrt%2833%29%2F4+ and sinx<0, find the values of sinx and cosx.
With this information, I would think that it is located in quadrant IV, but the answer shows that it is located in quadrant III.

Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Given tanx= +sqrt%2833%29%2F4+ and sinx<0, find the values of sinx and cosx.
Reference angle is in quadrant III where sin<0, cos<0, tan>0
hypotenuse of reference right triangle=√((√33)^2+(4^2))=√(33+16)=√49=7
sinx=-√33/7
cosx=-4/7