Question

If cot theta is undefined, then what is the value of tan theta

Answer 1

If a function is undefined, this usually means that the value is 1 / 0.

Since tan theta is the reciprocal of cot theta. Therefore:

 

cot theta = 1 / 0 = 1 / tan theta

 

Taking the right side:

1 / 0 = 1 / tan theta

 

Rearranging so that tan theta is in the numerator:

tan theta = 0

Answer 2

Answer: The value of tanθ is 0.

Step-by-step explanation:

Since we have given that

$\cot \theta=\infty$

As we know that

Tangent and cotangent are complementary as well as reverse of each other.

So, first we find the value of θ for cotangent:

$\cot \theta=\infty\\\\\theta=\cot^{-1}(\infty)\\\\\theta=0^\circ$

So, the value of tanθ would be

$\tan 0^\circ=0$

Hence, the value of tanθ is 0.