Which trig functions are positive in each quadrant?

Signs of Angles in Quadrants Thus, in the first quadrant, where x and y coordinates are all positive, all six trigonometric functions have positive values. In the second quadrant, only sine and cosecant (the reciprocal of sine) are positive. In the third quadrant, only tangent and cotangent are positive.

Which trig functions are positive in which quadrant?

All the trig functions are positive in Quadrant 1. Sine and cosecant are positive in Quadrant 2, tangent and cotangent are positive in Quadrant 3, and cosine and secant are positive in Quadrant 4.

What trig functions are positive in quadrant 4?

In quadrant four, the only trig ratios that will be positive are secant and cosecant trig functions.

What trig functions are positive and negative in each quadrant?

In the second quadrant, only sine and cosecant (the reciprocal of sine) are positive. In the third quadrant, only tangent and cotangent are positive. Finally, in the fourth quadrant, only cosine and secant are positive.

What quadrant is cosine positive?

• All trig functions (sin, cos, tan, sec, csc, cot) are positive in the first quadrant.
• Sine is positive in the second quadrant.
• Tangent is positive in the third quadrant.
• Cosine is positive in the fourth quadrant.

Is Cos positive in quadrant 3?

In the first quadrant, the values for sin, cos and tan are positive. In the second quadrant, the values for sin are positive only. In the third quadrant, the values for tan are positive only. In the fourth quadrant, the values for cos are positive only.

What trig functions are negative in which quadrants?

Sine, Cosine and Tangent in Four Quadrants

• The point (12,5) is 12 units along, and 5 units up.
• In Quadrant I everything is normal, and Sine, Cosine and Tangent are all positive:
• But in Quadrant II, the x direction is negative, and cosine and tangent become negative:
• In Quadrant III, sine and cosine are negative:

Is Cos negative quadrant 3?

Cosine is negative in two quadrants: quadrants 2 and 3 (the left quadrants, where x is negative). The only quadrant that shares both qualities is quadrant 3.

Is quadrant 3 positive or negative?

(For some reason everybody uses roman numerals for this). 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.

What quadrant is cosine positive and sine negative?

Trigonometric functions sine and cosine are both positive in first quadrant but in third quadrant both are negative. Hence in these two quadrants they have same sign. However, in second quadrant while sine is positive, cosine is negative. And in fourth quadrant, cosine is positive and sine is negative.

Which quadrant is cosine and cotangent negative?

Since − 5 π 6 \displaystyle -\frac{5\pi }{6} −65π​ is in the third quadrant, where both x and y are negative, cosine, sine, secant, and cosecant will be negative, while tangent and cotangent will be positive.

Is the function tan T positive or negative in quadrant IV?

for angles with their terminal arm in Quadrant III, since sine is negative and cosine is negative, tangent is positive. for angles with their terminal arm in Quadrant IV, since sine is negative and cosine is positive, tangent is negative.

Is the function SEC T positive or negative in quadrant II?

negative





Answer: The function sec t is negative in quadrant ii.