How does the Reference Angle Calculator work?
Free Reference Angle Calculator - Calculates the reference angle for a given angle. Also known as the positive acute angle.
This calculator has 1 input.
This calculator has 1 input.
What 4 formulas are used for the Reference Angle Calculator?
Quadrant 1 = θ
Quadrant 2 = 180 -θ
Quadrant 3 = θ - 180
Quadrant 4 = 360 - θ
Quadrant 2 = 180 -θ
Quadrant 3 = θ - 180
Quadrant 4 = 360 - θ
What 10 concepts are covered in the Reference Angle Calculator?
- angle
- the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle.
- cos
- cos(θ) is the ratio of the adjacent side of angle θ to the hypotenuse
- cot
- The length of the adjacent side divided by the length of the side opposite the angle. Also equals 1/tan(θ)
- csc
- the length of the hypotenuse divided by the length of the adjacent side. Also equals 1/sin(θ)
- gradian
- defined as one hundredth of the right angle. This is equal to π/200 or 9/10°
- radian
- a unit of plane angular measurement that is equal to the angle at the center of a circle subtended by an arc whose length equals the radius or approximately 180°/π ~ 57.3 degrees.
- reference angle
- the smallest possible angle made by the terminal side of the given angle with the x-axis.
- sec
- the length of the hypotenuse divided by the length of the adjacent side. Also equals 1/cos(θ)
- sin
- sin(θ) is the ratio of the opposite side of angle θ to the hypotenuse
- tan
- the ratio of the opposite side to the adjacent side of a particular angle of the right triangle.
Example calculations for the Reference Angle Calculator
Reference Angle Calculator Video
An Automated Online Math Tutor serving 8.1 million parents and students in 235 countries and territories.
