Table of Contents
What is a reference angle example?
For example, to find the reference angle of -1000°, we will add 360° three times to it. It implies, – 1000° + 3(360°) = -1000° + 1080° = 80°. Therefore, 80° is the required reference angle of a negative angle of -1000°. If θ in a negative angle -θ is from 0 to 90 degrees, then its reference angle is θ.
What is the reference angle for answer?
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.
Why use reference angle?
Reference angles make it possible to evaluate trigonometric functions for angles outside the first quadrant. They can also be used to find (x,y) coordinates for those angles. We will use the reference angle of the angle of rotation combined with the quadrant in which the terminal side of the angle lies.
What is the reference angle of 180?
Reference angle for 180°: 0°
What is the reference angle of 235?
55 degrees
235 – 180 = 55 degrees. The reference angle for 235 is 55 degrees.
How do you draw a reference triangle?
A reference triangle is formed by “dropping” a perpendicular from the terminal ray of a standard position angle to the x-axis. Remember, it must be drawn to the x-axis. Reference triangles are used to find trigonometric values for their standard position angles.
What is the reference angle for 120?
Since the angle 120° is in the second quadrant, subtract 120° from 180° .
What is the reference angle of 270?
90°
Reference angle for 270°: 90° (π / 2) Reference angle for 275°: 85°
What is the reference angle for 370?
Add 360° 360 ° to −10° – 10 ° . The resulting angle of 350° 350 ° is positive and coterminal with −370° – 370 ° .
What is the reference angle of 520?
Trigonometry Examples Find an angle that is positive, less than 360° , and coterminal with 520° . Subtract 360° 360 ° from 520° 520 ° . The resulting angle of 160° 160 ° is positive, less than 360° 360 ° , and coterminal with 520° 520 ° .
What is the reference angle for 292?
Trigonometry Examples The resulting angle of 68° 68 ° is positive and coterminal with −292° – 292 ° . Since 68° is in the first quadrant, the reference angle is 68° .
What is the reference angle for 312?
Algebra Examples The resulting angle of 48° 48 ° is positive and coterminal with −312° – 312 ° . Since 48° is in the first quadrant, the reference angle is 48° .