Category: 1. Coterminal Angles

The difference (in any order) of any two coterminal angles is a multiple of 360° To find the coterminal angle of an angle, we just add or subtract multiples of 360°. from the given angle. The number of coterminal angles of an angle is infinite because there is an infinite number of multiples of 360°.…

We already know how to find the coterminal angles of a given angle. The reference angle of any angle always lies between 0° and 90°, It is the angle between the terminal side of the angle and the x-axis. The reference angle depends on the quadrant’s terminal side. The steps to find the reference angle of an…

The coterminal angles can be positive or negative. In one of the above examples, we found that 390° and -690° are the coterminal angles of 30° Here, 390° is the positive coterminal angle of 30° and -690° is the negative coterminal angle of 30° θ ± 360 n, where n takes a positive value when…

From the above explanation, for finding the coterminal angles: add or subtract multiples of 360° from the given angle if the angle is in degrees. add or subtract multiples of 2π from the given angle if the angle is in radians. So we actually do not need to use the coterminal angles formula to find…

Find two coterminal angles of 30°. Solution: The given angle is, θ = 30° The formula to find the coterminal angles is, θ ± 360n Let us find two coterminal angles. For finding one coterminal angle: n = 1 (anticlockwise) Then the corresponding coterminal angle is, = θ + 360n= 30 + 360 (1)= 390°…

The formula to find the coterminal angles of an angle θ depending upon whether it is in terms of degrees or radians is: Degrees: θ ± 360 n Radians: θ ± 2πn In the above formula, θ ± 360n, 360n means a multiple of 360, where n is an integer and it denotes the number of rotations around the coordinate plane.…

The coterminal angles are the angles that have the same initial side and the same terminal sides. We determine the coterminal angle of a given angle by adding or subtracting 360° or 2π to it. In trigonometry, the coterminal angles have the same values for the functions of sin, cos, and tan. Once you have…

In these lessons, we will look at angles at standard position and coterminal angles. An angle is said to be in standard position if it is drawn on the Cartesian plane (x-y plane) on the positive x-axis and turning counter-clockwise (anti-clockwise). The initial side of an angle is the ray where the measurement of an angle starts. The terminal side…