How do you find the Coterminal angle in radians?
To find a positive and a negative angle coterminal with a given angle, you can add and subtract 360° if the angle is measured in degrees or 2π if the angle is measured in radians .
What is Coterminal angle in trigonometry?
Coterminal angles: are angles in standard position (angles with the initial side on the positive x-axis) that have a common terminal side. For example, the angles 30°, –330° and 390° are all coterminal (see figure 2.1 below). Fig.
How do you find a Coterminal angle of 120 degrees?
For example, angles measuring 120° and – 240° are coterminal. There are infinitely many coterminal angles. One way to find the measure of an angle that is coterminal with an angle θ is to add or subtract integer multiples of 360°.
What is radian measure?
The measure of an angle is determined by the amount of rotation from the initial side to the terminal side. One way to measure angles is in radians. One radian is the measure of a central angle that intercepts an arc s equal in length to the radius r of the circle.
How do you know which angles are positive and negative Coterminal?
To find a positive and a negative angle coterminal with a given angle, you can add and subtract 360°if the angle is measured in degrees or 2π if the angle is measured in radians. Example 1: Find a positive and a negative angle coterminal with a 55°angle. A −305°angle and a 415°angle are coterminal with a 55°angle.
What does a positive or negative angle signify?
If the angle is measured in a counterclockwise direction from the initial side to the terminal side, the angle is said to be a positive angle. If the angle is measured in a clockwise direction, the angle is said to be a negative angle.
What is the reference angle for 135?
180
135′ is in the second quadrant, so our reference angle is 180′-135 “, or 45′ .
Which measure is of an angle that is Coterminal with a 135 angle?
Trigonometry Examples The resulting angle of 225° 225 ° is positive and coterminal with −135° – 135 ° .