What is the reference angle for 158 degrees?
Trigonometry Examples The resulting angle of 158° 158 ° is positive and coterminal with −202° – 202 ° . Since the angle 158° is in the second quadrant, subtract 158° from 180° .
What is the reference angle for 157 degrees?
Or, −157∘ is in quadrant III, and its reference angle is 180∘−157∘=23∘ 180 ∘ − 157 ∘ = 23 ∘ .
What is the reference angle for 155 degrees?
Reference angle for 155°: 25°
What is the reference angle of 150 degrees?
30°
Looking at a graph, a 150° angle lies in quadrant II, therefore the reference angle is θ’ = 180° – 150° = 30°.
How do I find the reference angle?
In order to find its reference angle, we first need to find its corresponding angle between 0° and 360°. This is easy to do. We just keep subtracting 360 from it until it’s below 360. For instance, if our angle is 544°, we would subtract 360° from it to get 184° (544° – 360° = 184°).
What is reference angle?
What is a reference angle. Reference Angle: the acute angle between the terminal arm/terminal side and the x-axis. The reference angle is always positive. In other words, the reference angle is an angle being sandwiched by the terminal side and the x-axis. It must be less than 90 degree, and always positive.
Is 157 degree an obtuse angle?
obtuse angle-an angle between 90 and 180 degrees.
Which quadrant is 155 degrees in?
Trigonometry Examples Since the angle 155° is in the second quadrant, subtract 155° from 180° .
What is the reference angle of 570 degrees?
Find an angle that is positive, less than 360° , and coterminal with 570° . Subtract 360° 360 ° from 570° 570 ° . The resulting angle of 210° 210 ° is positive, less than 360° 360 ° , and coterminal with 570° 570 ° .
How do you find the reference angles?
What kind of angle is 160 degrees?
Is 157 degrees an obtuse angle?
Obtuse Angle: An angle whose measure is more than 90° but less than 180° is called an obtuse angle.
How to find the reference angle for degrees?
How to find the reference angle for degrees. All you have to do is follow these steps: Choose your initial angle – for example, 610°. If your angle is larger than 360° (a full angle), subtract 360°.
What is the reference angle of 214 degrees?
When the terminal side is in the third quadrant (angles from 180° to 270°), our reference angle is our given angle minus 180°. So, if our given angle is 214°, then its reference angle is 214° – 180° = 34°.
What is the reference angle if the angle is 110 degrees?
So, if our given angle is 110°, then its reference angle is 180° – 110° = 70°. When the terminal side is in the third quadrant (angles from 180° to 270°), our reference angle is our given angle minus 180°.
How to find the reference angle measuring X ° in Quadrant III?
To find the reference angle measuring x ° for angle in Quadrant III, the formula is x − 180 ∘.