Problem

Use identities to fill in the blank.
If $\tan \theta=2.5$, then $\cot \theta=$
\[
\cot \theta=
\]
(Type an integer or decimal.)

Answer

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Answer

Final Answer: \(\cot \theta= \boxed{0.4}\)

Steps

Step 1 :The cotangent of an angle is the reciprocal of the tangent of that angle.

Step 2 :So, if \(\tan \theta=2.5\), then \(\cot \theta=1/\tan \theta=1/2.5=0.4\).

Step 3 :Final Answer: \(\cot \theta= \boxed{0.4}\)

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