SOLUTION: use the given value tan theta=2/3 and sin theta < 0 and trig functions to evaluate all six trig functions

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Question 871646: use the given value tan theta=2/3 and sin theta < 0 and trig functions to evaluate all six trig functions
Answer by lwsshak3(11628) About Me  (Show Source):
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use the given value tan theta=2/3 and sin theta < 0 and trig functions to evaluate all six trig functions.
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reference angle in quadrant III
hypotenuse of reference right triangle in quadrant III=√(2^2+3^2)=√(4+9)=√13
tan theta=2/3
cot theta=3/2
sin theta=-2/√13=-2√13/13
cos theta=-3/√13=-3√13/13
csc theta=-√13/2
sec theta=-√13/3