What is the reference angle for 333?

What is the reference angle for 333?

Precalculus Examples The resulting angle of 333° 333 ° is positive and coterminal with −27° – 27 ° . Since the angle 333° is in the fourth quadrant, subtract 333° from 360° .

What is the reference angle of 330 degrees?

30°
Since 330 is thirty less than 360, and since 360° = 0°, then the angle 330° is thirty degrees below (that is, short of) the positive x-axis, in the fourth quadrant. So its reference angle is 30°.

What is 300 reference angle?

60 degrees
360 – 300 = 60 degrees. The reference angle for 300 is 60 degrees.

What is the reference angle for a 325 angle?

35°
Reference angle for 325°: 35° Reference angle for 330°: 30° (π / 6)

IS 270 in the third quadrant?

Angles between 180∘ and 270∘ are in the third quadrant. Angles between 270∘ and 360∘ are in the fourth quadrant.

What type of angle is 340 degrees?

To find the reference angle for –340 degrees: Determine the quadrant in which the terminal side lies. A –340-degree angle is equivalent to a 20-degree angle. (You get the positive angle measure by adding 360, or one full revolution around the origin, to the negative measure.)

Are degrees and 330 degrees Coterminal?

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.

Where is 330 degrees on the unit circle?

Explanation: 330° is in the 4th quadrant. Tan values are positive in the 1stand3rd quadrants and negative in the 2ndand4th quadrants.

How do you find the reference angle of 315 degrees?

We know that the positive x-axis is represented with 0∘ or 360∘ . Let us subtract the given angle from 360∘ to find the reference angle or 315∘ . So, the reference angle is 360∘−315∘=45∘ . ∴ We have found the reference angle for 315 degrees as 45∘ .

How do you get tan 300?

For tan 300 degrees, the angle 300° lies between 270° and 360° (Fourth Quadrant). Since tangent function is negative in the fourth quadrant, thus tan 300° value = -√3 or -1.7320508. . . Since the tangent function is a periodic function, we can represent tan 300° as, tan 300 degrees = tan(300° + n × 180°), n ∈ Z.

Are the given angles Coterminal 35 and 325?

Algebra Examples The resulting angle of 35° 35 ° is positive and coterminal with −325° – 325 ° .

What is the reference angle for a 240 angle?

A 240-degree angle is between 180 and 270 degrees, so its terminal side is in QIII. Do the operation indicated for that quadrant. Subtract 180 from 240. You find that 240 – 180 = 60, so the reference angle is 60 degrees.

What is the reference angle of an angle?

The reference angle is the positive acute angle that can represent an angle of any measure. The reference angle must be < 90 ∘ . In radian measure, the reference angle must be < π 2 . Basically, any angle on the x-y plane has a reference angle, which is always between 0 and 90 degrees.

How do you find the reference angle in Quadrant 3?

To find the reference angle measuring x ° for angle in Quadrant II, the formula is 180 − x ∘ . To find the reference angle measuring x ° for angle in Quadrant III, the formula is x − 180 ∘ . To find the reference angle measuring x ° for angle in Quadrant IV, the formula is 360 ∘ − x .

What is the standard position of an angle?

The other ray is called the terminal sideof the angle. This positioning of an angle is called standard position. The Greek letter theta () is often used to represent an angle measure. Two angles in standard position are shown below.

What is a reference angle on the xy plane?

Basically, any angle on the x-y plane has a reference angle, which is always between 0 and 90 degrees. The reference angle is always the smallest angle that you can make from the terminal side of an angle (ie where the angle ends) with the x-axis.