Respuesta :
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: The value of tanθ is 0.
Step-by-step explanation:
Since we have given that
[tex]\cot \theta=\infty[/tex]
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:
[tex]\cot \theta=\infty\\\\\theta=\cot^{-1}(\infty)\\\\\theta=0^\circ[/tex]
So, the value of tanθ would be
[tex]\tan 0^\circ=0[/tex]
Hence, the value of tanθ is 0.