Question

If tan a is equal to cot b then find the measure of a + b

Answer 1

Remember that:

$\tan( \alpha ) = \cot(90 - \alpha ) \\ \\ \cot( \alpha ) = \tan(90 - \alpha )$
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$given : \tan(a) = \cot(b) \\ \\ \Rightarrow \cot(90 - a) = \cot(b) \\ \\ \Rightarrow 90 - a = b \\ \\ \Rightarrow 90 = a + b$

Answer 2

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