Table 8
Quadrant | \({\sin\, \theta,\,\csc\, \theta }\) | \({\cos\, \theta,\,\sec\, \theta }\) | \({\tan\, \theta ,\,\cot\, \theta }\) | Conclusion |
---|---|---|---|---|
I | Positive | Positive | Positive | All trigonometric functions are positive. |
II | Positive | Negative | Negative | Only sine and its reciprocal, cosecant, are positive. |
III | Negative | Negative | Positive | Only tangent and its reciprocal, cotangent, are positive. |
IV | Negative | Positive | Negative | Only cosine and its reciprocal, secant, are positive. |