Question 20
$$ If \cot\alpha = \sqrt{2} + 1 $$, then the value of $$ \tan\alpha - \cot\alpha = ? $$
Solution
$$ \cot\alpha = \sqrt{2} + 1 $$
$$ \tan\alpha=1/(\cot\alpha ) $$
$$ \tan\alpha=1/(\sqrt{2} + 1 )$$
$$ \tan\alpha=(\sqrt{2} - 1 )$$
$$ \tan\alpha-\cot\alpha$$=-2
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