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).

Is tan 180 undefined?

θ sin θ tan θ
0° 0 0
90° 1 undefined
180° 0 0
270° −1 undefined

How do you find the exact value of sin 120?

How to Find the Value of Sin 120 Degrees? The value of sin 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 sin 120° is equal to the y-coordinate (0.866). ∴ sin 120° = 0.866.

What is the value of cot 120?

-0.5774
Cot 120 degrees is the value of cotangent trigonometric function for an angle equal to 120 degrees. The value of cot 120° is -(1/√3) or -0.5774 (approx).

How do you find the trigonometric ratio of 120?

120 degrees

  1. sin 120° = sin (1 × 90° + 30°) = cos 30° = √3/2.
  2. cos 120° = cos (1 × 90° + 30°) = – sin 30° = – 1/2.
  3. tan 120° = tan (1 × 90° + 30°) = – cot 30° = – √3.
  4. csc 120° = csc (1 × 90° + 30°) = sec 30° = 2/√3.
  5. sec 120° = sec (1 × 90° + 30°) = – csc 30° = – 2.
  6. cot 120° = cot (1 × 90° + 30°) = – tan 30° = – 1/√3.

Why is tan 270 undefined?

At 270 degrees we again have an undefined (und) result because we cannot divide by zero..

Where is TANX undefined?

The tangent function, tan(x) is undefined when x = (π/2) + πk, where k is any integer.

How do you find tan30?

Tan 30 degrees can also be expressed using the equivalent of the given angle (30 degrees) in radians (0.52359 . . .) ⇒ 30 degrees = 30° × (π/180°) rad = π/6 or 0.5235 . . . ∴ tan 30° = tan(0.5235) = 1/√3 or 0.5773502. . .

How do you find COS 120 without a calculator?

Draw a unit circle (circle with radius one) and draw 120 degrees. Then find the reference angle (60 degrees). Since 120 degrees is in the second quadrant, the x values will be negative and the y values will be positive. This means that cos120 will be negative.