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

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? 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? 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".

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

Free Quadrant Calculator - Describes the Quadrant and the details

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