Which Quadrant Is Cotangent Negative?

In Quadrant IV, sec ⁡ θ \displaystyle \sec{\theta} secθ is positive, csc ⁡ θ \displaystyle \csc{\theta} cscθ and cot ⁡ θ \displaystyle \cot{\theta} cotθ are negative.

Is cotangent positive or negative in quadrant 2?

In quadrant II, “Smart,” only sine and its reciprocal function, cosecant, are positive. In quadrant III, “Trig,” only tangent and its reciprocal function, cotangent, are positive. Finally, in quadrant IV, “Class,” only cosine and its reciprocal function, secant, are positive.

Can cotangent be negative?

As you can see by studying the table of cotangent values and the graph of the cotangent function, the cotangent value is negative for all angles for which the sine and cosine have a different sign (i.e. in Quadrant II and Quadrant IV), and positive for all angles for which the sine and cosine have the same sign (i.e. ...