Table 8

Quadrant\({\sin\, \theta,\,\csc\, \theta }\)\({\cos\, \theta,\,\sec\, \theta }\)\({\tan\, \theta ,\,\cot\, \theta }\)Conclusion
I PositivePositivePositiveAll trigonometric functions are positive.
II PositiveNegativeNegativeOnly sine and its reciprocal, cosecant, are positive.
III NegativeNegativePositiveOnly tangent and its reciprocal, cotangent, are positive.
IV NegativePositiveNegativeOnly cosine and its reciprocal, secant, are positive.