Question

Find cot θ if csc θ = sqrt 5/2 and tan θ > 0.

Answer 1

\[\huge \cot^2 \theta = \csc^2 \theta -1 =(\frac{\sqrt 5}{2})^2 -1\]
\[\huge =(\frac{5}{4}) -1= \frac {5-4}{4} =\frac{1}{4}\]
\[\huge \rightarrow \cot \theta = \sqrt \frac{1}{4}= \frac{1}{2}\]
@gamewarden23

Answer 2

Thanks

Answer 3

@gamewarden23 medal please..