What is the tan of 120 in a unit circle?
-1.7321
Tan 120 Degrees Using Unit Circle Hence the value of tan 120° = y/x = -1.7321 (approx).
How is tan calculate from a unit circle?
We have an identity tan x = (sin x) / (cos x). So divide the y-coordinate by the x-coordinate of each point on the unit circle to find the corresponding tangent value.
What is the tangent of 120 degrees radians?
Trigonometric Function Values of Special Angles
| θ° | θradians | tan(θ) |
|---|---|---|
| 120° | 2π/3 | -√3 |
| 135° | 3π/4 | -1 |
| 150° | 5π/6 | -√3/3 |
| 180° | π | 0 |
How do you find sin 120 on the unit circle?
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 degree?
-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).
What quadrant does 120 degrees lie?
The angle 120∘ is in the second quadrant, and its related angle is 60∘.
How do you find the exact value of sin 120?
By using the value of cosine function relations, we can easily find the value of sin 120 degrees. Using the trigonometry formula, sin (90 + a) = cos a, we can find the sin 120 value. We know that the value of cos 30 degrees is √3/2. Therefore, sin 120° = √3/2.
How do you calculate tan 40?
Explanation: For tan 40 degrees, the angle 40° lies between 0° and 90° (First Quadrant). Since tangent function is positive in the first quadrant, thus tan 40° value = 0.8390996. . . Since the tangent function is a periodic function, we can represent tan 40° as, tan 40 degrees = tan(40° + n × 180°), n ∈ Z.
What is value of cos 120 degree?
-½
Value of Cos 120 is -½.
What is the ratio of 120 degree?
sec 120° = sec (1 × 90° + 30°) = – csc 30° = – 2; tan 120° = tan (1 × 90° + 30°) = – cot 30° = – √3; cot 120° = cot (1 × 90° + 30°) = – tan 30° = – 1√3.