How do I know if my tan is undefined?

How do I know if my tan is undefined?

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

What angle is tangent undefined?

90 degrees 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. In the third quadrant the hypotenuse extended will now meet the tangent line above the x-axis and is now positive again.

Where is tan theta undefined?

Well, tangent theta is undefined when cosine theta equals zero.

Where is tangent undefined on the unit circle?

We can do this same process for all of the angles on the unit circle. When we get to 90 degrees, we end up dividing by zero. Since we cannot divide by zero, the tangent of 90 degrees is undefined.

Why is tan undefined?

Because tan(x) is defined as being equal to sin(x)/cos(x), and cos(π/2)=0. So tan(π/2)=1/0, which is undefined because of the division by zero.

Why is tan 270 undefined?

Explanation: For tan 270 degrees, the angle 270° lies on the negative y-axis. Thus tan 270° value is not defined. Since the tangent function is a periodic function, we can represent tan 270° as, tan 270 degrees = tan(270° + n × 180°), n ∈ Z.

Why is tan not defined at 90?

Why is Tan 90 undefined? As we have got the result as infinity, and we cannot define infinity, therefore tan 90 is undefined.

Why is tangent 270 undefined?

Explanation: For tan 270 degrees, the angle 270° lies on the negative y-axis. Thus tan 270° value is not defined. Since the tangent function is a periodic function, we can represent tan 270° as, tan 270 degrees = tan(270° + n × 180°), n ∈ Z.

What is undefined on the unit circle?

Trigonometric functions are undefined when they represent fractions with denominators equal to zero. Secant is the reciprocal of cosine, so the secant of any angle x for which cos x = 0 must be undefined, since it would have a denominator equal to 0.

Where is tan zero?

In trigonometry, the value of tan 0 is 0.

Why is tangent 90 not defined?

Why is Tan 90 undefined? As we have got the result as infinity, and we cannot define infinity, therefore tan 90 is undefined.

Why tan 90 is not defined?

Why is Tan 90 undefined? As we have got the result as infinity, and we cannot define infinity, therefore tan 90 is undefined.

Is tan 180 undefined?

Tan 180 degrees is the value of tangent trigonometric function for an angle equal to 180 degrees. The value of tan 180° is 0.

Why is tan 90 undefined?

tan90∘ is undefined because you can't divide 1 by nothing. Nothing multiplied by 0 will give an answer of 1 , so the answer is undefined.

Is tan 0 defined?

In trigonometry, the value of tan 0 is 0. The word 'Trigonometry' is derived from the Greek word and the subject is developed to solve geometric problems involving triangles. It is used to measure the sides of a triangle.

Is tan 270 undefined?

The value of tan 270 degrees is undefined. Tan 270 degrees in radians is written as tan (270° × π/180°), i.e., tan (3π/2) or tan (4.712388. . .).

Why is Cot 90 not undefined?

Is cot 90 undefined? No, the value of cot 90 is defined and its value is 0.

Why tan 270 is undefined?

Explanation: For tan 270 degrees, the angle 270° lies on the negative y-axis. Thus tan 270° value is not defined. Since the tangent function is a periodic function, we can represent tan 270° as, tan 270 degrees = tan(270° + n × 180°), n ∈ Z.

Why is tangent undefined at 270 degrees?

Explanation: For tan 270 degrees, the angle 270° lies on the negative y-axis. Thus tan 270° value is not defined. Since the tangent function is a periodic function, we can represent tan 270° as, tan 270 degrees = tan(270° + n × 180°), n ∈ Z.

Is tan 90 undefined?

The exact value of tan 90 is infinity or undefined.

Can tangent be 90 degrees?

What is the exact value of tan 90? The exact value of tan 90 is infinity or undefined.