Question

Diketahui sin a=3/5 dan Cos B =15/7 . tentukan nilai tan (A+B)

Answer 1

Verified answer

Soalnya ralat dikit cos b = 15/17
sin a = 3/5
tan a = 3/4
cos b = 15/17
tan b = 8/15

tan (a+b) = tan a + tan b / 1 - tan a tan b
= {3/4 + 8/15} / {1 - (3/4 × 8/15)}
= {45/60 + 32/60} / {1 - 2/5}
= (77/60) / (3/5)
= (77/60) (5/3)
= 77/36