No 28. Nilai tan a adalah... A. 1/3 B. 2/3 C. 3/4 D. 2/17 E. 6/17

28tan ( 3/4 )

C.3/4.....

Tan x = depan/samping

Tan ¢ = 2/3
Tan (a + ¢) = 4/3
(Tan a + tan ¢) / (1 - Tan a tan ¢) = 4/3
(Tan a + 2/3) / (1 - Tan a . 2/3) . 3/3 = 4/3
(3 tan a + 2) / (3 - 2 Tan a) = 4/3
3(3 Tan a + 2) = 4(3 - 2 Tan a)
9 Tan a + 6 = 12 - 8 Tan a
9 Tan a + 8 Tan a = 12 - 6
17 Tan a = 6
Tan a = 6/17