What quadrant is Secant positive?
What quadrant is Secant positive?
fourth quadrant
Signs of Angles in Quadrants 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.
Is sec x positive or negative?
Since r is a radius, it must be positive, so sec(x) is negative anywhere x is negative.
What is a secant of x?
The secant of x is 1 divided by the cosine of x: sec x = 1 cos x , and the cosecant of x is defined to be 1 divided by the sine of x: csc x = 1 sin x .
Which is positive in which quadrant?
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.
Which quadrant is the secant negative?
third quadrant
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.
Which quadrant is Secant positive and cosecant negative?
Answer: Quadrant II that is common for both.
Is sec x always positive?
It means: In the first quadrant (I), all ratios are positive. In the second quadrant (II), sine (and cosec) are positive. In the third quadrant (III), tan (and cotan) are positive. In the fourth quadrant (IV), cos (and sec) are positive.
In which quadrants is CSC x positive?
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 is the differential of sec x?
The derivative of sec x with respect to x is sec x · tan x. i.e., it is the product of sec x and tan x. We denote the derivative of sec x with respect to x with d/dx(sec x) (or) (sec x)’. Thus, d/dx (sec x) = sec x · tan x (or)
What quadrants is Secant 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.
Which quadrant is which?
In the first quadrant, both x and y take positive values. In the second quadrant, x is negative and y is positive. In the third quadrant, x and y are negative, and in the fourth quadrant, x is positive and y is negative….Quadrant – Definition with Examples.
| Point | Quadrant |
|---|---|
| (5, -4) | lV |
