When the terminal side is in the fourth quadrantВ (angles from 270В° to 360В°), our reference angle is 360В° minus our given angle. When the terminal side is in the third quadrantВ (angles from 180В° to 270В°), our reference angle is our given angle minus 180В°. When the terminal side is in the second quadrantВ (angles from 90В° to 180В°), our reference angle is 180В° minus our given angle. When the terminal side is in the first quadrantВ (angles from 0В° to 90В°), our reference angle is the same as our given angle.В Since all the angles in the first quadrant are less than 90В°.

Step 3:В Click on the 'Reset' button to clear the fields andВ enter the different values.

Step 2:В Click on the 'Calculate' button to findВ the reference angle.

Step 1:В Enter the angle theta in the given input boxes.

Please follow the belowВ stepsВ to find theВ reference angle: 'Cuemath'sВ Reference Angle Calculator'В is an online tool that helps to calculate the reference angle.В Cuemath's online Reference Angle Calculator helps you to calculate the reference angleВ in a few seconds. What type of angle is 180 degrees?ДЄngles that are 180 degrees (Оё = 180В°) are known as straight angles.The reference angleВ is defined asВ the smallest possible angle made by the terminal side of the given angle with the x-axis. Therefore, the reference angle is, again, 30В°. What is the reference angle of negative 210 degrees?Д«ecause 210 is thirty more than 180, then this angleвЂ™s terminal side is 30В° past (that is, below) the negative x-axis. What is the reference angle for a 240 degree angle? What is the reference angle for a 210 angle?Дў10 degrees is 30 degrees past 180, which means the reference angle is 30 degrees. So, for the given angle, the reference angle is 220В° вЂ“ 180В° = 40В°. The reference angle is the acute angle with vertex at (0,0) formed by the terminal side of the angle (when drawn in standard position) and the x-axis. What is the reference angle for a 220 angle?Дў20В° lies in quadrant 3. In the case of a geometric angle, the arc is centered at the vertex and constrained by the sides. , as angles smaller than a right angle (less than 90В°) are called acute angles. Since the terminal side of the 150В° is only thirty degrees from the (negative) x-axis (being thirty degrees less than 180В°, which is the negative x-axis), then the reference angle (again shown by the curved purple line) is 30В°.

Example Determine the reference angle that corresponds to each of the following angle. The reference angle, shown by the curved purple line, is the same as the given angle. The table below shows the reference angle,, in quadrant I which corresponds to the angle,, in quadrants II, III, and IV. What is the reference angle of negative 30 degrees? Since 37В° is in the first quadrant, the reference angle is 37В°. Looking at a graph, a 150В° angle lies in quadrant II, therefore the reference angle is ОёвЂ™ = 180В° вЂ“ 150В° = 30В°. What is the reference angle for a 150 angle? The resulting angle of 150В° 150 В° is positive, less than 360В° 360 В°, and coterminal with 510В° 510 В°. How do you find the reference angle of 510? 210 degrees is 30 degrees past 180, which means the reference angle is 30 degrees. Next we would calculate the reference angle. Since the angle 180В° is in the third quadrant, subtract 180В° from 225В°. The resulting angle of 225В° 225 В° is positive and coterminal with в€’135В° вЂ“ 135 В°. What is the reference angle for 240 degrees? What is the reference angle of 170 degrees?.What is the measure of the reference angle for a 240 angle?.What is the reference angle of 540 degrees?.What is the reference angle of sin 510?.What is the reference angle of CSC 510?.What is the reference angle of negative 210 degrees?.The angle 5 /3 has its terminal side in quadrant IV, as shown below. What is the reference angle for a 240 degree angle? Reference angle - angle formed by the coterminal ray and x-axis. The reference angle is the acute angle formed by the terminal side of the angle 5/3 and the x-axis (see the figure shown below).What is the reference angle for a 210 angle?.

What is the reference angle for a 220 angle?.What is the reference angle of negative 30 degrees?.What is the reference angle for a 150 angle?.How do you find the reference angle of 510?.What is the reference angle of negative 135?.What is the reference angle for 240 degrees?.