For what values of x is tan x undefined?
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For what values of x is tan x undefined?
Answer and Explanation: The tangent function, tan(x) is undefined when x = (π/2) + πk, where k is any integer.
Which value of tan is not defined?
The value of tan 90 degrees is not defined. In Trigonometry, Sine, Cosine and Tangent are the three primary ratios, based on which the whole trigonometric functions and formulas are designed.
Why is tan undefined at 90?
As our first quadrant angle increases, the tangent will increase very rapidly. As we get closer to 90 degrees, this length will get incredibly large. At 90 degrees we must say that the tangent is undefined (und), because when you divide the leg opposite by the leg adjacent you cannot divide by zero.
For which value of θ is Tanθ undefined?
| θ | sin θ | tan θ |
|---|---|---|
| 0° | 0 | 0 |
| 90° | 1 | undefined |
| 180° | 0 | 0 |
| 270° | −1 | undefined |
What is the exact value of tan 30?
0.5774
Tan 30 degrees is the value of tangent trigonometric function for an angle equal to 30 degrees. The value of tan 30° is 1/√3 or 0.5774 (approx).
Is tan 0 undefined?
Cotangent is the reciprocal of tangent, so the cotangent of any angle x for which tan x = 0 must be undefined, since it would have a denominator equal to 0. The value of tan (0) is 0, so the cotangent of (0) must be undefined.
Where is inverse tan undefined?
If x=0 then arctanyx is undefined, but you may be able to find a limit as x approaches 0.
How do you solve undefined TANX?
This is because tan(x) is also defined as sin(x) divided by cos(x); namely, tan(x) = . To determine the points where tan(x) is undefined, we solve for the equation cos(x) = 0. This gives us x = . Therefore, the function y=tan(x) is undefined at all points x = , where k is an integer.
How do you find the point where tan(x) is undefined?
To determine the points where tan (x) is undefined, we solve for the equation cos (x) = 0. This gives us x = . Therefore, the function y=tan (x) is undefined at all points x = , where k is an integer.
Why is tan 90 defined as undefined?
Why is Tan 90 undefined? Tangent 90 degrees is evaluated as undefined because tan of an angle is equal to the ratio of sin and cos of same angle. Since, sin 90 = 1 and cos 90 = 0, therefore; As we have got the result as infinity, and we cannot define infinity, therefore tan 90 is undefined.
How do you find the value of tan 90 degrees?
With the help of a unit circle drawn on the XY plane, we can find out all the trigonometric ratios and values. As you can see in the graph, Tan 90 degrees unit circle value is undefined or infinite. In the same way, we can derive other values of tangent degrees (0°, 30°, 45°, 60°, 90°, 180°, 270° and 360°).
What is the value of tan x at points where cos(x) = 0?
The trigonometric function y = tan (x) is undefined at all points where cos (x) = 0. This is because tan (x) is also defined as sin (x) divided by cos (x); namely, tan (x) =. To determine the points where tan (x) is undefined, we solve for the equation cos (x) = 0. This gives us x =.