In this coordinate X has positive values and y has negative values. Quadrant IV: The fourth quadrant is in the bottom right corner of the plane. The point (2,−3) lies in the third quadrant. In this quadrant, we can see that the sine and tangent ratios are negative and the cosine ratio is positive. Finally, if θ lies between 270° and 360° the corresponding point P is in the fourth quadrant. In general, if lies in the third quadrant, the acute angle θ − 180° is called the related angle for θ. In which quadrant is the sine of an angle positive but its cosine is negative? In the fourth quadrant, the values for cos are positive only. In the third quadrant, the values for tan are positive only. In the second quadrant, the values for sin are positive only. In the first quadrant, the values for sin, cos and tan are positive. for angles with their terminal arm in Quadrant IV, since sine is negative and cosine is positive, tangent is negative.

Is the function tan T positive or negative in Quadrant IV?įor angles with their terminal arm in Quadrant III, since sine is negative and cosine is negative, tangent is positive. In quadrant III, “Trig,” only tangent and its reciprocal function, cotangent, are positive. In quadrant II, “Smart,” only sine and its reciprocal function, cosecant, are positive. Is the function cot t positive or negative in quadrant II? Finally, in the fourth quadrant, only cosine and secant are positive. In the third quadrant, only tangent and cotangent are positive. In the second quadrant, only sine and cosecant (the reciprocal of sine) are positive. In Quadrant I, both the x– and y-coordinates are positive in Quadrant II, the x-coordinate is negative, but the y-coordinate is positive in Quadrant III both are negative and in Quadrant IV, x is positive but y is negative. How do you know which quadrant is positive or negative? In what quadrants is sine negative?Įxplanation: Trigonometric functions sine and cosine are both positive in first quadrant but in third quadrant both are negative. In the fourth quadrant (IV), cos (and sec) are positive. In the third quadrant (III), tan (and cotan) are positive.

In the second quadrant (II), sine (and cosec) are positive. Is sine positive or negative in the second quadrant? Those are the 2 quadrants that are above the x axis. Since sine is the second coordinate on point P, it’s going to be positive whenever that point is above the x axis.

Sin cos tan quadrants