quadrant - 1 of 4 sections on the Cartesian graph. Quadrant I: (x, y), Quadrant II (-x, y), Quadrant III, (-x, -y), Quadrant IV (x, -y)

cot(?)=12 and ? is in Quadrant I, what is sin(?)?

cot(?)=12 and ? is in Quadrant I, what is sin(?)?
cot(?) = cos(?)/sin(?)
12 = cos(?)/sin(?)
Cross multiply:
12sin(?) = cos(?)
Divide each side by 12:
sin(?) = [B]12cos(?)[/B]

Find an angle (theta) with 0<(theta)<360° or 0<(theta)<(2*pi) that has the same sine value as 80°

Find an angle (theta) with 0<(theta)<360° or 0<(theta)<(2*pi) that has the same sine value as 80°.
The sine is positive in Quadrant I and Quadrant II. So we find the reference angle for 80°.
It's 180 - 80 = [B]100°[/B].
This is our answer. Sin(80°) = Sin(100°)

if the point (.53,y) is on the unit circle in quadrant 1, what is the value of y?

if the point (.53,y) is on the unit circle in quadrant 1, what is the value of y?
Unit circle equation:
x^2 + y^2 = 1
Plugging in x = 0.53, we get
(0.53)^2 + y^2 = 1
0.2809 + y^2 = 1
Subtract 0.2809 from each side:
y^2 = 0.7191
y = [B]0.848[/B]

In which quadrant is the point (2,negative 6) located?

In which quadrant is the point (2,negative 6) located?
We have the point (2, -6). It lies in Quadrant IV.
to get this, [URL='https://www.mathcelebrity.com/polrectcord.php?num=2%2C-6&pl=Show+Detail#Quadrant']type in (2, -6) to the search engine[/URL], and click "Quadrant".

Ordered Pair

Free Ordered Pair Calculator - This calculator handles the following conversions:

* Ordered Pair Evaluation and symmetric points including the abcissa and ordinate

* Polar coordinates of (r,θ°) to Cartesian coordinates of (x,y)

* Cartesian coordinates of (x,y) to Polar coordinates of (r,θ°)

* Quadrant (I,II,III,IV) for the point entered.

* Equivalent Coordinates of a polar coordinate

* Rotate point 90°, 180°, or 270°

* reflect point over the x-axis

* reflect point over the y-axis

* reflect point over the origin

* Ordered Pair Evaluation and symmetric points including the abcissa and ordinate

* Polar coordinates of (r,θ°) to Cartesian coordinates of (x,y)

* Cartesian coordinates of (x,y) to Polar coordinates of (r,θ°)

* Quadrant (I,II,III,IV) for the point entered.

* Equivalent Coordinates of a polar coordinate

* Rotate point 90°, 180°, or 270°

* reflect point over the x-axis

* reflect point over the y-axis

* reflect point over the origin

Quadrant

Free Quadrant Calculator - Describes the Quadrant and the details

Trig Angle conversions

Free Trig Angle conversions Calculator - Converts between degrees, radians, gradians, revolutions, and quadrants.