What is the value of $\tan (180 - θ)$ ?

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Solution

Find the value of $\tan (180 - θ)$ .
The value of the given expression is calculated as follows:
$\tan (180 ° - θ) = \tan [90 ° + (90 ° - θ)] \tan (180 ° - θ) = - \cot (90 ° - θ) [∵ \tan (90 ° + θ) = - \cot θ] \tan (180 ° - θ) = - \tan (θ) [∵ \cot (90 ° - θ) = \tan θ]$
Hence, the value is $\tan (180 ° - θ) = - \tan (θ)$ .

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