Buktikan bahwa: sin (A + B) tan A + tan B --------------- = ---------------------- cos (A - B) 1 + tan A tan B
Matematika
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Buktikan bahwa:
sin (A + B) tan A + tan B
--------------- = ----------------------
cos (A - B) 1 + tan A tan B
sin (A + B) tan A + tan B
--------------- = ----------------------
cos (A - B) 1 + tan A tan B
1 Jawaban
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1. Jawaban Anonyme
Bab Trigonometri
Matematika SMA Kelas X
(sin (a + b)) / (cos (a - b))
= (sin a cos b + cos a sin b) / (cos a cos b + sin a sin b)
= (cos a cos b (sin a/cos a + sin b/cos b)) / (cos a cos b (1 + ((sin a sin b)/(cos a cos b)))
**coret cos a cos b**
= (sin a/cos a + sin b/cos b) / (1 + ((sin a sin b)/(cos a cos b)))
= (tan a + tan b) / (1 + tan a tan b)
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