jika 8 tan x = 15 maka nilai dari sin x - cos x adalah..

tan X= 15/8= y/x
sin X= 15/...= y/r
cos X= 8/...= x/r

r= akar (15^2 + 8^2)
=akar 289
=17

maka,
sin x- cos x
= 15-8 /17
= 7/17
semoga membantu ya...☆☆

8 tan x = 15
tan x = 15/8

1 + tan²x = sec²x
1 + (15/8)² = sec²x
64/64 + 225/64 = sec²x
sec²x = 289/64
sec x = 17/8
sec x = 1/cos x
cos x = 8/17

sin²x + cos²x = 1
sin²x + (8/17)² = 1
sin²x = 289/289 - 64/289
sin²x = 225/289
sin x = 15/17

Sehingga sin x - cos x = 15/17 - 8/17 = 7/17

Semoga membantu ;)