sin b = 5:13, tan a = 0,75 a dan b sudut lancip. nilai cos(a + b) =...?
Matematika
AkhsanFikri
Pertanyaan
sin b = 5:13, tan a = 0,75 a dan b sudut lancip. nilai cos(a + b) =...?
2 Jawaban
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1. Jawaban leg
tan a = 3/4 ; sin a = 3/5 ; cos a = 4/5
sin b = 5/13 ; cos b = 12/13
cos (a + b) = cos a cos b - sin a sin b
cos (a + b) = 4/5 12/13 - 3/5 5/13
cos (a + b) = 48/65 - 15/65
cos (a + b) = 33/65 -
2. Jawaban Sutr1sn0
tan A = 0,75
sin A = 3/5
cos A = 4/5
sin B = 5/13
cos B = 12/13
cos (A + B) = cos A cos B - sin A sin B
cos (A + B) = 4/5.12/13 - 3/5.5/13
cos (A + B) = 48/65 - 15/65
cos (A + B) = 33/65