#TERMINAL SIDE OF THETA CALCULATOR FULL#

The formula to find the coterminal angles is,В Оё В± 360n Let us learn the concept with the help of the given example.Д®xample : Find two coterminal angles of 30В°. They differ only by a number of complete circles.В We can conclude that two angles are said to be coterminal if the difference between the angles is a multiple of 360В°В (orВ 2ПЂ, if the angle is in terms of radians). In the above formula, Оё В± 360n, 360n means a multiple of 360, because n is an integerВ and it denotes the number of rotations around the coordinate plane. The formula to find the coterminal angles of an angleВ ОёВ depending upon whether it is in terms of degrees or radians is: What is the Formula of Coterminal Angles? Thus 405В° and -315В° are coterminal angles of 45В°.

#TERMINAL SIDE OF THETA CALCULATOR FULL#

On full rotation clockwise, 45 В° reaches its terminal side again at -315 В°.В -315В° coincides with 45В° in the first quadrant.On full rotation anticlockwise, 45 В° reaches its terminal side again at 405 В°.В 405В°В coincides with 45В° in the first quadrant.Its standard position is in the first quadrant because its terminal side is also present in the first quadrant. The original ray is called the initial side and the final position of the ray after its rotation is called the terminal side of that angle.Д¬onsider 45В°. An angle is a measure of the rotation of a ray about its initial point. When the angles are moved clockwise or anticlockwise the terminal sides coincide at the same angle. They are on the same sides, inВ the same quadrant and their vertices are identical. The coterminal angles occupy the standard position, though their values are different. Coterminal angles are the angles that have the same initial side and share the terminal sides.

Terminal side of theta calculator