Reference Angle for 150
Publish date: 2024-06-19
Calculate the reference angle for 150°
Reference Angle = A postive, acute angle.
0 ≤ θ ≤ 90°
Step 1: Find equivalent angle
Our original angle fits:
0° ≤ 150° ≤ 360°
Step 2: Determine the quadrant:
| 2 | 1 |
| 3 | 4 |
150° is located in Quadrant II
Reference Angle = 180° - 150
Step 3: Find the reference angle:
| Quadrant | Reference angle for θ |
| 1 | θ |
| 2 | 180 - θ |
| 3 | θ - 180 |
| 2 | 360 - θ |
Reference Angle = 30°
What is the Answer?
Reference Angle = 30°
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.
What 4 formulas are used for the Reference Angle Calculator?
Quadrant 1 = θQuadrant 2 = 180 -θ
Quadrant 3 = θ - 180
Quadrant 4 = 360 - θ
For more math formulas, check out our Formula Dossier
What 10 concepts are covered in the Reference Angle Calculator?
anglethe figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle. coscos(θ) is the ratio of the adjacent side of angle θ to the hypotenusecotThe length of the adjacent side divided by the length of the side opposite the angle. Also equals 1/tan(θ)cscthe length of the hypotenuse divided by the length of the adjacent side. Also equals 1/sin(θ)gradiandefined as one hundredth of the right angle. This is equal to π/200 or 9/10°radiana 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 anglethe smallest possible angle made by the terminal side of the given angle with the x-axis.secthe length of the hypotenuse divided by the length of the adjacent side. Also equals 1/cos(θ)sinsin(θ) is the ratio of the opposite side of angle θ to the hypotenusetanthe 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
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