What quadrant is sec theta more than 0?
1 Answer. θ lies in the Fourth Quadrant.
What quadrant is it in if CSC 0 and sec 0?
If csc(θ) < 0, then sin(θ) < 0 because csc and sin are simply multiplicative inverses. If sec(θ) > 0, then cos(θ) > 0 because sec and cos are simply multiplicative inverses. Thus, θ must be in quadrant 4.
In which quadrant does θ lie if sec θ 0 and cot θ 0?
cotθ<0 and secθ>0; then θ is in IV quadrant.
What quadrant is sin theta less than 0?
And in the fourth quadrant, cos 𝜃 is greater than zero, but sin 𝜃 is less than zero.
How do you find the SEC of 0?
How to Find the Value of Sec 0 Degrees? The value of sec 0 degrees can be calculated by constructing an angle of 0° with the x-axis, and then finding the coordinates of the corresponding point (1, 0) on the unit circle. The value of sec 0° is equal to the reciprocal of the x-coordinate(1). ∴ sec 0° = 1.
What quadrant is sec less than 0 and tan greater than 0?
1 Answer. Both tanθandsinθ are < 0 in the fourth quadrant Q4.
What quadrant is sec positive?
In the fourth quadrant (IV), cos (and sec) are positive.
What quadrant is sec tan?
1 Answer. Ken C. 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 is the value of sec theta 0?
The exact value of sec(0) is 1 .
In what quadrant the SEC theta is negative?
Quadrant III
The sign of sec(t) matches the sign of cos(t) and thus is positive in Quadrant I, negative in Quadrant II, negative in Quadrant III, and positive in Quadrant IV.
What is sec theta?
Secant theta is defined as 1 over x. Cosecant theta is 1 over y and cotangent is x over y. Let’s develop some identities with these new functions. So because secant theta is defined as 1 over x, we can use the fact that x equals cosine theta to write 1 over cosine theta.
How do you solve for sec 0?
The sec of an angle in a right triangle is the ratio of the length of the hypotenuse to the length of the adjacent side. Secant can be easily replaced by cos x using the formula, sec x = 1 / cos x.
What is the equivalent of sec θ?
1cosθ
Allied to these are the three reciprocal ratios, cosecant, secant and cotangent: cosecθ=hypotenuseopposite,secθ=hypotenuseadjacent,cotθ=adjacentopposite. cosecθ=1sinθ,secθ=1cosθ,cotθ=1tanθ.
What is the formula of sec theta?
Cosecant, Secant and Cotangent
| Cosecant Function: | csc(θ) = Hypotenuse / Opposite |
|---|---|
| Secant Function: | sec(θ) = Hypotenuse / Adjacent |
| Cotangent Function: | cot(θ) = Adjacent / Opposite |
What quadrants is secant positive?
Finally, in the fourth quadrant, only cosine and secant are positive.
What is the formula of sec θ?
What is the difference between secant Theta and cotangent Theta?
If secant theta is more than 0 and cotangent theta is less than 0, what quadrant is theta in? 0 users composing answers.. Just think of it in terms of signs. You know that secant theta has to be positive because it is greater than 0, and you know that cotangent is negative since it is less than 0.
What is SEC Theta of an angle?
Sec theta of an angle in a right-angled triangle is defined as the ratio of the hypotenuse and adjacent side. In which quadrants is the secant function positive and in which quadrants is it negative?
What quadrants is the secant function positive?
Sec theta of an angle in a right-angled triangle is defined as the ratio of the hypotenuse and adjacent side. In which quadrants is the secant function positive and in which quadrants is it negative? It can be observed from the above graph that sec (x) is positive in the 1st and 4th quadrants and negative in the 2nd and 3rd quadrants.