In Quadrant IV , `sec theta` is positive, `csc theta` and `cot theta` are negative. 2)name the quadrant in which the angle theta lies.cot theta > 0, sin theta < 0. sinθ is less than 0 tells you that sinθ is negative (i.e. in the 1st Quadrant (where both x & y are positive) OR in the 3rd Quadrant (where both x & y are negative).

For an angle in the third quadrant the point P has negative x and y coordinates. Solution is in third quadrant . Quadrants I, II, III and IV (They are numbered in a counter-clockwise direction) In Quadrant I both x and y are positive, In Quadrant 1, "A" means All functions are positive there. Quadrant 3: Tan is positive (sin/cos are negative) Quadrant 4: Cos is positive (tan/sin are negative) If tan < 0, the angle lies in either quadrants 2 or 4. Determine which quadrant and angle lies in radians in terms of pie ... sec, csc, cot - … So, iii. When we include negative values, the x and y axes divide the space up into 4 pieces: . trig. ii. In quadrant 3rd , Cosine and Sine both are negative and tangent is positive. State the quadrant in which θ lies. How do you use use quotient identities to explain why the tangent and cotangent function have... How do you show that #1+tan^2 theta = … The point (12,5) is 12 units along, and 5 units up.. Four Quadrants. Given:-Since, is in quadrant 3, ⇒ cannot be negative. In Quadrant 2, "S" means the Sine (and its reciprocal, cosecant) is positive.

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For an angle in the fourth quadrant the point P has positive x coordinate and negative y coordinate. In Quadrant 3, "T" means the Tangent (and its reciprocal, cotagent) is positive. Cartesian Coordinates. if csc of theta is greater than zero and sec of theta is less than zero what quadrant is theta in? 1.I 2.II 3.III 4.IV. 2.) ?? What quadrant does #cot 325^@# lie in and what is the sign?

This being said, then the following trigonometric functions are true: Sec theta is positive, though, because it's greater than zero, and cot theta is negative, being less that zero.

We don't need to remember the reciprocal ones off by heart, but it is recommended that you remember where `sin theta`, `cos theta` and `tan theta` are positive. 1) Determine the quadrant in wich theta lies. To satisfy the conditions that csc Θ = 7 (greater than zero) and cot Θ < 0, the angle Θ must be in the second quadrant. And if sin Θ > 0, then it is either in the first or second quadrant. CSC θ is greater than 0 and TAN θ is less than 0. Therefore, the given statement cannot be true because tan theta is greater than zero in quadrant 3. First of all, let's recall a few definitions. The set of solutions for are limited to the since that is the only quadrant found in both sets. As per the statement:-The terminal point determined by theta is in quadrant 3. We don't need to remember the reciprocal ones off by heart, but it is recommended that you remember … The endpoint of an angle x lies in the 4th quadrant. Since csc Θ = 7 (greater than zero or positive) then sin Θ > 0, as well. When it comes to determining signs of reciprocal functions in quadrants I, II, III or IV, it is easier to think in terms of the more familiar functions like sin, cos and tan, because their reciprocals have the same sign... cscx like sinx are>0 in quadrants I and II secx like cosx are0 in quadrants …

Answer to: State the quadrant in which \theta lies.

SEC θ is greater than 0 and SIN θ is less than 0. Here is why. If cos > 0, the angle lies in either quadrants 1 or 4.

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