How do you find the reference angle on a TI 84?

How do you find the reference angle on a graphing calculator?

Choose the proper formula for calculating the reference angle:
  1. 0° to 90°: reference angle = angle ,
  2. 90° to 180°: reference angle = 180° – angle ,
  3. 180° to 270°: reference angle = angle – 180° ,
  4. 270° to 360°: reference angle = 360° – angle .

What is the reference angle for a angle?

90 degrees
What is Meant by the Reference Angle? In mathematics, the reference angle is defined as the acute angle and it is measuring less than 90 degrees. It is always the smallest angle, and it makes the terminal side of an angle with the x-axis.

What is the reference angle for an angle of 314?

How do you do reference angles?

How do I find my reference number?

The reference number equals pi – the terminal point. For example, if your terminal point = 5 pi / 6, your reference number = pi / 6. Pi would equal 6 pi / 6, and 6 – 5 = 1 or 1 pi / 6. Simplify 1 pi / 6 to pi / 6.

What is the reference angle for 292?

Trigonometry Examples

Add 360° 360 ° to −292° – 292 ° . The resulting angle of 68° 68 ° is positive and coterminal with −292° – 292 ° . Since 68° is in the first quadrant, the reference angle is 68° .

What is the reference angle of 300?

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

What is the reference angle of 1230?

Trigonometry Examples

Subtract 360° 360 ° from 1230° 1230 ° . The resulting angle of 870° 870 ° is positive and coterminal with 1230° 1230 ° but isn’t less than 360° 360 ° .

What is the reference angle of 240?

60 degrees
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 420 degrees?

Trigonometry Examples

Find an angle that is positive, less than 360° , and coterminal with 420° . Subtract 360° 360 ° from 420° 420 ° . The resulting angle of 60° 60 ° is positive, less than 360° 360 ° , and coterminal with 420° 420 ° .

What is the reference angle and cosine of 7pi 6?

What is the reference angle of 390?

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

What is the reference angle of 720?

Subtract 360° 360 ° from 720° 720 ° . The resulting angle of 360° 360 ° is positive, less than 360° 360 ° , and coterminal with 720° 720 ° .

What is the reference angle if the angle is measured at 63?

Trigonometry Examples

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

How do you find sin 390?

The value of sin 390 degrees can be calculated by constructing an angle of 390° with the x-axis, and then finding the coordinates of the corresponding point (0.866, 0.5) on the unit circle. The value of sin 390° is equal to the y-coordinate (0.5). ∴ sin 390° = 0.5.

What is the exact value of cos390?

0.86602540
The exact value of cos 390 degrees can be given accurately up to 8 decimal places as 0.86602540 and √3/2 in fraction.

How do you find 3 Coterminal angles?

Finding coterminal angles is as simple as adding or subtracting 360° or 2π to each angle, depending on whether the given angle is in degrees or radians. There are an infinite number of coterminal angles that can be found.

How do you find sin 39 degrees?

The value of sin 39 degrees can be calculated by constructing an angle of 39° with the x-axis, and then finding the coordinates of the corresponding point (0.7771, 0.6293) on the unit circle. The value of sin 39° is equal to the y-coordinate (0.6293). ∴ sin 39° = 0.6293.

How do you find the value of cos120?

The value of cos 120 degrees can be calculated by constructing an angle of 120° with the x-axis, and then finding the coordinates of the corresponding point (-0.5, 0.866) on the unit circle. The value of cos 120° is equal to the x-coordinate (-0.5). ∴ cos 120° = -0.5.

How do you find the exact value of sin330?

The value of sin 330 degrees can be calculated by constructing an angle of 330° with the x-axis, and then finding the coordinates of the corresponding point (0.866, -0.5) on the unit circle. The value of sin 330° is equal to the y-coordinate (-0.5). ∴ sin 330° = -0.5.

What is the value of sin 48?

0.7431
Sin 48 degrees is the value of sine trigonometric function for an angle equal to 48 degrees. The value of sin 48° is 0.7431 (approx).

What is the sin of 30 in degrees?

1/2
Sin 30 degrees is the value of sine trigonometric function for an angle equal to 30 degrees. The value of sin 30° is 1/2 or 0.5.

How do you solve sin 25?

The value of sin 25° is equal to the y-coordinate (0.4226). ∴ sin 25° = 0.4226.

How do you find cos 61?

The value of cos 61° is equal to the x-coordinate (0.4848). ∴ cos 61° = 0.4848.