on April 23, 2022

What is the exact value of tan degrees?

Space and Astronomy

Tan 30 degrees is also represented by tan π/6 in terms of radians. The exact value of tan 30° is 0.57735.
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MATHS Related Links
Tan 0 Degree Trigonometric Identities
Tan 60 Degree Tan 90 Degree

Why is tan 30 degrees?

It has to form a 30° angle with the positive x-axis. The tan of 30 degrees equals the y-coordinate (0.5) divided by the x-coordinate (0.866) of the point of intersection (0.866, 0.5) of the unit circle and r. Hence the value of tan 30° is y/x = 0.5774 (approx).

Is the value of tan 90 degree?

infinity

The exact value of tan 90 is infinity or undefined.

Is the value of tan 60 degree?

√3

FAQs on Tan 60 Degrees



Tan 60 degrees is the value of tangent trigonometric function for an angle equal to 60 degrees. The value of tan 60° is √3 or 1.7321 (approx).

How do you find tan?

Video quote: The tangent is equal to the opposite over the adjacent. Since our opposite side has a length of 3 in our jacent side has a length of 4.

How do you find the exact value of tan 45?

To find the value of tan 45 degrees using the unit circle:

  1. Rotate ‘r’ anticlockwise to form 45° angle with the positive x-axis.
  2. The tan of 45 degrees equals the y-coordinate(0.7071) divided by x-coordinate(0.7071) of the point of intersection (0.7071, 0.7071) of unit circle and r.


What is the exact value of tan 30?

0.57735

Tan 30 degree is equal to 1/√3 and its exact value is 0.57735.



How do you find tan 45 without a calculator?

Video quote: So met it okay tangent 45 is equal to opposite over adjacent. So let's pick here 45 times your 45 opposite is 1 my ojiisan is also one unit so that is 1 over 1 which is 1.

What is the exact value of tan 120?

-1.7321

Tan 120 degrees is the value of tangent trigonometric function for an angle equal to 120 degrees. The value of tan 120° is -√3 or -1.7321 (approx).

What is the exact value of tan 135?

-1

FAQs on Tan 135 Degrees



Tan 135 degrees is the value of tangent trigonometric function for an angle equal to 135 degrees. The value of tan 135° is -1.



How do you find tan 135 without a calculator?

Video quote: As 135-degree is equal to 90 degree plus 45 degree. So tangent of 135 degree is equal to tangent of 90 degree. Plus 45 degree.

What is the exact value 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 tan 300 without a calculator?

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. . .



How do you find the value of tan 270 degrees?

The value of tan 270 degrees is undefined. Tan 270 degrees can also be expressed using the equivalent of the given angle (270 degrees) in radians (4.71238 . . .) ⇒ 270 degrees = 270° × (π/180°) rad = 3π/2 or 4.7123 . . .

How do you find cot 225?

Cot 225 degrees in radians is written as cot (225° × π/180°), i.e., cot (5π/4) or cot (3.926990. . .).



We can use trigonometric identities to represent cot 225° as,

  1. tan (90° – 225°) = tan(-135°)
  2. -tan (90° + 225°) = -tan 315°
  3. -cot (180° – 225°) = -cot(-45°)


How do you find cos315?

The value of cos 315 degrees can be calculated by constructing an angle of 315° with the x-axis, and then finding the coordinates of the corresponding point (0.7071, -0.7071) on the unit circle. The value of cos 315° is equal to the x-coordinate (0.7071). ∴ cos 315° = 0.7071.

What is the value of cot 315 degrees?

-1



The value of cot 315 degrees is -1. Cot 315 degrees can also be expressed using the equivalent of the given angle (315 degrees) in radians (5.49778 . . .)

How do you solve Sec 120?

To find the value of sec 120 degrees using the unit circle:

  1. Rotate ‘r’ anticlockwise to form 120° angle with the positive x-axis.
  2. The sec of 120 degrees equals the reciprocal of the x-coordinate(-0.5) of the point of intersection (-0.5, 0.866) of unit circle and r.


What is cot120?

The value of cot 120 degrees is -0.5773502. . .. Cot 120 degrees in radians is written as cot (120° × π/180°), i.e., cot (2π/3) or cot (2.094395. . .). In this article, we will discuss the methods to find the value of cot 120 degrees with examples. Cot 120°: -(1/√3)

How do you solve sec150?

Explanation: For sec 150 degrees, the angle 150° lies between 90° and 180° (Second Quadrant). Since secant function is negative in the second quadrant, thus sec 150° value = -2/√3 or -1.1547005. . .



What csc 225?

cosec is negative in 3rd Quadrant. 225° lies in 3rd Quadrant. Therefore, the value of cosec (225°) is -√2.

How do you find cot 420?

Now, we can write our six trigonometric functions:

  1. sin(420∘)=√32.
  2. cos(420∘)=12.
  3. tan(420∘)=√31or√3.
  4. csc(420∘)=2√3or2√33.
  5. sec(420∘)=21or2 and.
  6. cot(420∘)=1√3or√33.


What is the exact value of csc 270?

– 1

270° does not lies in 1st and 2nd Quadrant. Therefore, the exact value of cosec (270°) is – 1 .

How do you find the exact value of sin 300?

The value of sin 300 degrees can be calculated by constructing an angle of 300° with the x-axis, and then finding the coordinates of the corresponding point (0.5, -0.866) on the unit circle. The value of sin 300° is equal to the y-coordinate (-0.866). ∴ sin 300° = -0.866.

How do you find the exact value of tan 330?

Tan 330 degrees is the value of tangent trigonometric function for an angle equal to 330 degrees. The value of tan 330° is -1/√3 or -0.5774 (approx).