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Question Number 20558 by khamizan833@gmail.com last updated on 28/Aug/17

Commented by ajfour last updated on 28/Aug/17

$$fullformof\cot xiscotangentx.$$

Answered by Tinkutara last updated on 28/Aug/17

$$(1-\cot 22°)(1-\cot 23°)=1-\cot 23°-$$$$\cot 22°+\cot 22°\cot 23°$$$$\cot 45°=\frac{\cot 22°\cot 23°-1}{\cot 22°+\cot 23°}=1$$$$\Rightarrow \cot 22°\cot 23°-\cot 22°-\cot 23°=1$$$$\therefore (1-\cot 22°)(1-\cot 23°)=2$$

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