What is the exact value of tan?
Table of Contents
What is the exact value of tan?
Important Angles of Tan (30, 45, 60)
| Angle Radian | 0° 0 | 30° π/6 |
|---|---|---|
| Tan | 0 | 1/√3 |
| Cot | ∞ | √3 |
| Sec | 1 | 2/√3 |
| Cosec | ∞ | 2 |
What is cot 2π?
The value of cot 2pi is not defined. Cot 2pi can also be expressed using the equivalent of the given angle (2pi) in degrees (360°). We know, using radian to degree conversion, θ in degrees = θ in radians × (180°/pi) ⇒ 2pi radians = 2pi × (180°/pi) = 360° or 360 degrees. ∴ cot 2pi = cot 2π = cot(360°) = not defined.
What value of tan is pi?
The value of tan pi is 0. Tan pi can also be expressed using the equivalent of the given angle (pi) in degrees (180°). Since the tangent function is a periodic function, we can represent tan pi as, tan pi = tan(pi + n × pi), n ∈ Z.
What is the exact value of cot?
Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. Make the expression negative because cotangent is negative in the fourth quadrant. The exact value of cot(60) is 1√3 .
What is the exact value of tan 2pi?
0
The value of tan 2pi is 0. Tan 2pi radians in degrees is written as tan ((2π) × 180°/π), i.e., tan (360°).
What is the value of cot 0?
undefined
The value of cot 0 degrees is undefined(∞). Cot 0 degrees in radians is written as cot (0° × π/180°), i.e., cot (0π) or cot (0).
Is cot just 1 tan?
cot(x) = 1/tan(x) , so cotangent is basically the reciprocal of a tangent, or, in other words, the multiplicative inverse.
Is cot the same as tan?
Cotangent is not same as tangent inverse. Cotangent function is equal to the reciprocal of tangent function.
How do you find cot 135?
The value of cot 135 degrees is -1. Cot 135 degrees in radians is written as cot (135° × π/180°), i.e., cot (3π/4) or cot (2.356194. . .).
What is the value of cot 180 degree?
Cot 180 degrees is the value of cotangent trigonometric function for an angle equal to 180 degrees. The value of cot 180° is undefined.
How do you solve tan pi 2?
To find the value of tan π/2 using the unit circle:
- Rotate ‘r’ anticlockwise to form pi/2 angle with the positive x-axis.
- The tan of pi/2 equals the y-coordinate(1) divided by the x-coordinate(0) of the point of intersection (0, 1) of unit circle and r.
