In order to find its reference angle, we first need to find its corresponding angle between 0° and 360°. This is easy to do. We just keep subtracting 360 from it until it’s below 360. For instance, if our angle is 544°, we would subtract 360° from it to get 184° (544° – 360° = 184°).

What is the reference angle of 7 radians?

Since 7° is in the first quadrant, the reference angle is 7° .

What is the reference angle for 225?

Since the angle 180° is in the third quadrant, subtract 180° from 225° .

What is the reference angle for 135 degrees?

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

What is the reference angle for 6 radians?

Since 6° is in the first quadrant, the reference angle is 6° .

What is the reference angle of θ?

The reference angle for θ is 90∘ .

What is the reference angle of 2.2 pi?

Since 0.62831853 is in the first quadrant, the reference angle is 0.62831853 .

What is the reference angle of 235 degrees?

The reference angle for 235 is 55 degrees. If the terminal side of the angle is in the fourth quadrant, we take the angle and subtract it from 360 degrees.

What is the reference angle of 330 degrees?

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 the reference angle of 240 degrees?

Reference angle for 240°: 60° (π / 3)

What is the reference angle of PI 4?

Since π4 is in the first quadrant, the reference angle is π4 .

What is the reference angle of 30 degrees?

Since 30° is in the first quadrant, the reference angle is 30° .

What is the reference angle for 5pi 3?

The resulting angle of π3 π 3 is positive and coterminal with −5π3 – 5 π 3 . Since π3 is in the first quadrant, the reference angle is π3 .

How do you find the reference angle of sin 225?

The value of sin 225 degrees can be calculated by constructing an angle of 225° with the x-axis, and then finding the coordinates of the corresponding point (-0.7071, -0.7071) on the unit circle. The value of sin 225° is equal to the y-coordinate (-0.7071). ∴ sin 225° = -0.7071.

What is the reference angle of 210?

The reference angle is found by calculating the difference between θ and the x-axis. In this problem, 210 is closest to 180, so 210∘−180∘=30∘ .

What is the reference angle of 810?

Trigonometry Examples

Subtract 360° 360 ° from 810° 810 ° . The resulting angle of 450° 450 ° is positive and coterminal with 810° 810 ° but isn’t less than 360° 360 ° .