Reference angle calculator
In addition, the answer is displayed in seconds, so you can rely on this calculator for fast and accurate calculations. It is a multifunctional calculator that can help you in education and academic research.
This article explains what a reference angle is, providing a reference angle definition. This coterminal angle calculator will help you solve problems related to calculating the coterminal angle. All you have to do is simply input any positive angle into the field, and this calculator will find the reference angle for you. To find another answer, we remember that the 2 places where cosine is positive are the first (I) and fourth (IV) quadrants. Since this is an acute angle, we can use it as the reference angle and write 45.57 o. Hence the value of the reference angle is 10 degreesĮxample 2: Calculate the reference angle of 210 degrees.įor a given angle, the reference angle is calculated by looking at the quadrant it is lying in and this angle lies in the thirdįor the second quadrant the reference angle is equal to x-180. Our reference angle calculator is a handy tool for recalculating angles into their acute version. From our calculator, we have one answer: cos-1 0.7 45.57 o. The given angle may be in degrees or radians. Reference angle calculator calculatortutorvista. Find reference angle and quadrant trigonometry calculator. Trigonometric functions have the same value for the angle and for the reference angle.Įxample 1: Find the reference angle of 170 degrees.įor a given angle, the reference angle is calculated by looking at the quadrant it is lying in and this angle lies in the secondįor the second quadrant the reference angle is equal to 180-x. This online calculator finds the reference angle and the quadrant of a trigonometric a angle in standard position.The reference angle is defined as the acute angle between the terminal side of the given angle and the x axis. Standard position and reference angles mathbitsnotebook (a2. It is the smallest angle that we can make from the terminal side of the angle. Its as easy as entering the value of the angle in degrees and the calculator will determine the reference angle. This calculator is convenient to use to find the first quadrant (or acute) angle for a given angle. Reference angle on the x-y plane is always between 0 to 90 degrees. The reference angle calculator finds the angle in the first quadrant which corresponds to the given angle.
Reference angle is positive acute angle formed by the x axis. The reference angle calculator is used to calculate the reference angle of any of the angle given to us.