How do you find the greatest negative Coterminal angle?

How do you find the greatest negative Coterminal angle?

A negative angle moves in a clockwise direction. In this case, to find the negative coterminal angle, subtract 360° from 30°. Below is a 30° angle in standard position. This angle opens in a counterclockwise direction.

What is the Coterminal angle of negative 120?

Trigonometry Examples Add 360° 360 ° to −120° – 120 ° . The resulting angle of 240° 240 ° is positive and coterminal with −120° – 120 ° .

What are the negative and positive Coterminal angles of 120?

Coterminal angles are angles in standard position with the same terminal side. For example, angles measuring 120° and – 240° are coterminal.

What is the least positive Coterminal angle?

Explanation: To find a coterminal angle, you must add or subtract . The question is asking for the least positive coterminal angle, so you must add until you reach a positive angle. The angle is still negative, so you must continue.

What is standard position math?

: the position of an angle with its vertex at the origin of a rectangular-coordinate system and its initial side coinciding with the positive x-axis.

What angle is Coterminal to?

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, −330°and 390°are all coterminal.

What is the reference angle for 135?

135′ is in the second quadrant, so our reference angle is 180′-135 “, or 45′ .

What is the Coterminal angle of 400?

Trigonometry Examples Find an angle that is positive, less than 360° , and coterminal with 400° . Subtract 360° 360 ° from 400° 400 ° . The resulting angle of 40° 40 ° is positive, less than 360° 360 ° , and coterminal with 400° 400 ° .

What is the Coterminal angle of 450?

Trigonometry Examples Subtract 360° 360 ° from 450° 450 ° . The resulting angle of 90° 90 ° is positive, less than 360° 360 ° , and coterminal with 450° 450 ° .

What is the reference angle for 63 degrees?

Since 63° is in the first quadrant, the reference angle is 63° .