Question

If Tangent theta = negative three-eighths, which expression is equivalent to cotangent theta?

Answer 1

`\displaystyle \cot\theta=-(8)/(3)`

Explanation:

By the reciprocal identity,
`\displaystyle \tan\theta=(1)/(\cot \theta)`, so if
`\displaystyle \tan\theta=-(3)/(8)`, then
`\displaystyle \cot\theta=-(8)/(3)` since it is the reciprocal.