Question

$if \sin \alpha = \cos \beta \: then \: what \: is \: the \: value \: of \: \alpha + \beta$
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Answer 1

$\huge\underline\mathfrak\red{Answer:}$

$\alpha + \beta = 90$

$\huge\underline\mathfrak\red{Step-by-step\: explanation:}$

$\sin( \alpha ) = \cos( \beta )$

$WKT, \sin( \alpha ) = \sin( 90 - \beta )$

$∴ \: \alpha = 90 - \beta$

$\alpha + \beta = 90$