What is the reference angle of 240 degrees?
60° Reference angle for 240°: 60° (π / 3)
What is the reference angle of tan 240?
√3 Tan 240 degrees is the value of tangent trigonometric function for an angle equal to 240 degrees. The value of tan 240° is √3 or 1.7321 (approx).
How do you find a reference angle?
So, if our given angle is 110°, then its reference angle is 180° – 110° = 70°. When the terminal side is in the third quadrant (angles from 180° to 270°), our reference angle is our given angle minus 180°. So, if our given angle is 214°, then its reference angle is 214° – 180° = 34°.
How do you find the Coterminal angle of 240?
Trigonometry Examples Find an angle that is positive, less than 360° , and coterminal with −240° . Add 360° 360 ° to −240° – 240 ° . The resulting angle of 120° 120 ° is positive and coterminal with −240° – 240 ° .
What is the reference angle for a 240 angle quizlet?
What is the reference angle for 240°? Since the angle is in Quadrant III, subtract 180° from 240°.
What is the exact value of sin 240?
sin (240) = sin (60 + 180) = – sin 60.
How do you find COS 240 without a calculator?
How to Find the Value of Cos 240 Degrees? The value of cos 240 degrees can be calculated by constructing an angle of 240° 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 240° is equal to the x-coordinate (-0.5). ∴ cos 240° = -0.5.
What is the tan of 240 degrees in radians?
Trigonometric Function Values of Special Angles
| θ° | θradians | tan(θ) |
|---|---|---|
| 180° | π | 0 |
| 210° | 7π/6 | √3/3 |
| 225° | 5π/4 | 1 |
| 240° | 4π/3 | √3 |
What is the reference angle of 235?
55 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 525?
Trigonometry Examples Find an angle that is positive, less than 360° , and coterminal with 525° . Subtract 360° 360 ° from 525° 525 ° . The resulting angle of 165° 165 ° is positive, less than 360° 360 ° , and coterminal with 525° 525 ° .
In what quadrant does 240 degrees lie?
The angle is in the third quadrant.
What is the reference angle for?
The reference angle is used for the purpose of the simplification of the calculations in the trigonometric function value at different angles. It is noted that, even for the larger angles, the reference angle should be less than 90 degrees.
What is the reference angle for quizlet?
Reference Angle: The reference angle equals the given angle in Quadrant I. Reference Angle: Subtract 180° from the given angle to find the reference angle.
What angle has the same sine as 240?
The reference angle for 240 is 60. So the other angle is in quadrant II, with reference angle 60. The angle is 120.
What is the exact value of cos 240 degrees?
Trigonometric Function Values of Special Angles
| θ° | θradians | cos(θ) |
|---|---|---|
| 240° | 4π/3 | -1/2 |
| 270° | 3π/2 | 0 |
| 300° | 5π/3 | 1/2 |
| 315° | 7π/4 | √2/2 |
What is the exact value of sin 240 degrees?
-0.866 Sin 240 degrees is the value of sine trigonometric function for an angle equal to 240 degrees. The value of sin 240° is -(√3/2) or -0.866 (approx).
What is the reference angle of 330?
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 the reference angle of 390?
Trigonometry Examples Find an angle that is positive, less than 360° , and coterminal with 390° . Subtract 360° 360 ° from 390° 390 ° . The resulting angle of 30° 30 ° is positive, less than 360° 360 ° , and coterminal with 390° 390 ° .
What is the reference angle for 312?
Algebra Examples The resulting angle of 48° 48 ° is positive and coterminal with −312° – 312 ° . Since 48° is in the first quadrant, the reference angle is 48° .
What is the reference angle for 292?
Trigonometry Examples 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° .
Which of these angles is Coterminal with an angle of 240 in standard position?
Coterminal angle of 240° (4π / 3): 600°, 960°, 120°, -480°
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 135?
45′ 135' is in the second quadrant, so our reference angle is 180'-135 ", or 45' .
What is the exact value of cos 240?
-0.5 The value of cos 240 degrees is -0.5. Cos 240 degrees in radians is written as cos (240° × π/180°), i.e., cos (4π/3) or cos (4.188790. . .).
What is 240 degrees in radians in terms of pi?
1 Answer. Manikandan S. 2400=3π2.
How do you find tan 240 without a calculator?
Knowing that, tan(180+x)∘=tanx∘ , we find, tan(240∘)=tan(1802+60∘)=tan60∘=√3 .
What is the reference angle for 235?
55 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 for 135?
45′ 135' is in the second quadrant, so our reference angle is 180'-135 ", or 45' .
What is the reference angle of 150?
30° Looking at a graph, a 150° angle lies in quadrant II, therefore the reference angle is θ' = 180° – 150° = 30°.
What is the reference angle for 720 degrees?
Subtract 360° 360 ° from 720° 720 ° . The resulting angle of 360° 360 ° is positive, less than 360° 360 ° , and coterminal with 720° 720 ° .