if $\tan\theta =-\frac{3}{8}$, which expression is equivalent to $cot\theta$?\n$\frac{1}{-\frac{3}{8}}$\n$-\f…

if $\tan\theta =-\frac{3}{8}$, which expression is equivalent to $cot\theta$?\n$\frac{1}{-\frac{3}{8}}$\n$-\frac{3}{8}+1$\n$sqrt{1 + (-\frac{8}{3})^2}$\n$(-\frac{3}{8})^2+1$

if $\tan\theta =-\frac{3}{8}$, which expression is equivalent to $cot\theta$?\n$\frac{1}{-\frac{3}{8}}$\n$-\frac{3}{8}+1$\n$sqrt{1 + (-\frac{8}{3})^2}$\n$(-\frac{3}{8})^2+1$

Answer

Answer:

A. $\frac{1}{\frac{3}{8}}$

Explanation:

Step1: Recall the relationship between tangent and cotangent

The cotangent of an angle $\theta$ is the reciprocal of the tangent of the angle, i.e., $\cot\theta=\frac{1}{\tan\theta}$.

Step2: Substitute the given value of $\tan\theta$

Given $\tan\theta = \frac{3}{8}$, then $\cot\theta=\frac{1}{\frac{3}{8}}$.