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Verified answer
Bab TrigonometriMatematika SMA Kelas X
α = a
β = b
tan a + tan b = √6
(sin a/cos a) + (sin b/cos b) = √6
(sin a cos b + cos a sin b) / (cos a . cos b) = √6
(siin (a + b)) / (1/6 . √3) = √6
sin (a + b) = 1/6 √3 . √2 . √3
sin (a + b) = 1/6 . 3√2
sin (a + b) = 1/2 √2